2024 If one root of the quadratic equation 3x2

If one root of the quadratic equation 3x2

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WebMay 1, 2024 · asked May 1, 2024 in Quadratic Equations by Fara (32.2k points) closed May 3, 2024 by Fara If 1 is a root of the quadratic equation 3x 2 + ax - 2 = 0 and the quadratic equation a(x 2 + 6x) - b = 0 has equal roots, find the value of b. WebSolve Quadratic Equation by Completing The Square. 4.2 Solving 3x2-7x+2 = 0 by Completing The Square . Divide both sides of the equation by 3 to have 1 as the coefficient of the first term : x2- (7/3)x+ (2/3) = 0. Subtract 2/3 from both side of the equation : x2- (7/3)x = -2/3. Now the clever bit: Take the coefficient of x , which is 7/3 ...

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WebDec 16, 2024 · A quadratic equation whose one root is 2 and the sum of whose roots is zero, is A. x^2 + 4 = 0 B. x^2 – 4 = 0 C. 4x^2 – 1 = 0 D. x^2 – 2 = 0 asked May 3, 2024 in Quadratic Equations by Eeshta ( 32.5k points) WebFeb 2, 2024 · Given: Root of the equation 3x2 - 8kx = -16 Solution: As, x = 4 is the root of the equation ⇒ 3x2 - 8kx +16 = 0 ⇒ 3 . Get Started. Exams. SSC Exams. ... If one of the roots of the quadratic equation 3x 2 - 8kx = -16 is 4 then find the value of k. 2-2; 4-4; Answer (Detailed Solution Below) Option 1 : 2. Crack with. India's Super Teachers. heyitsalexsu

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WebSum If one root of the equation 3x 2 + kx + 81 = 0 (having real roots) is the square of the other then find k Advertisement Remove all ads Solution Let α and α 2 be the root of the equation 3x 2 + kx + 81 Here a = 3, b = k, c = 81 α + α 2 = k - k 3 3α + 3α 2 = – k ... (1) Product of the roots = c a c a = 81 3 = 27 α × α 2 = 27 α 3 = 27 ⇒ α 3 = 3 3 WebThe quadratic formula says the roots of a quadratic equation ax 2 + bx + c = 0 are given by x = (-b ± √ (b 2 - 4ac)) /2a. To solve any quadratic equation, convert it into standard form ax … heyitsalee

If 1 is a root of the quadratic equation 3x^2 + ax - Sarthaks

[Solved] If one of the roots of the quadratic equation 3x2 - 8kx

WebMar 5, 2024 · Answer: THE EQUATION IS : x²-4x+1. Step-by-step explanation: NOW , IF ONE ROOT OF THE EQUATION IS 2-√3 , THEN THE OTHER ROOT WILL BE 2+√3. NOW THE … WebIn the first diagram, we can see that this parabola has two roots. The second diagram has one root and the third diagram has no roots. The discriminant can be used in the following way: \... heyitsaaronWebJun 30, 2024 · one root of the equation 3x2-kx-2=0 is 2 x = 2 Place the value of x in 3x2-kx-2=0 3 (2)^2 - k (2) - 2 = 0 (3 x 4) - 2k - 2 = 0 12 - 2 - 2k = 0 10 - 2k = 0 10 = 2k 10 / 2 = k 5 = k Now the equation is 3x^2 -5x - 2 = 0 Factorize : 3x^2 - 6x + x - 2 = 0 3x (x - 2) + 1 (x - 2) = 0 (3x + 1) (x - 2) = 0 3x + 1 = 0 & x - 2 = 0 3x = - 1 & x = 2 heyitsevamay

"WebIf you expand (x-1/8)(x-5) you actually end up with x^2-(41/8)x+5/8 and not 8x^2 - 41x + 5. This makes sense because the quadratic formula will give you the roots to a quadratic equation, but remember, there are infinitely many quadratics with these roots. " - If one root of the quadratic equation 3x2

If one root of the quadratic equation 3x2

If one of the root of a quadratic equation is (√3–2), then

WebIn Sal's completing the square vid, he takes the exact same equation (ax^2+bx+c = 0) and he completes the square, to end up isolating x and forming the equation into the quadratic formula. In other words, the quadratic formula is simply just ax^2+bx+c = 0 in terms of x. So the roots of ax^2+bx+c = 0 would just be the quadratic equation, which is: WebHere are a few examples of the types of quadratic equations you will learn to solve: x^2=36 x2 = 36 (x-2)^2=49 (x −2)2 = 49 [Why is this a quadratic equation?] 2x^2+3=131 2x2 + 3 = 131 Now let's get down to business. Solving x^2=36 x2 = 36 and similar equations Suppose we want to solve the equation x^2=36 x2 = 36.

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WebAnswer (1 of 3): Irrational roots always exist as conjugates. If one root is -2 + √3, the other root will be -2- √3. Sum of roots = -4 Product of roots = (-2)² -(√3)² = 1 Required equation : … WebNov 11, 2024 · 23K views 2 years ago. If one root of the quadratic equation 3x2+px+4=0 is 2/3. Find the value of p and other root of the Equation. Show more. Show more. If one root …

WebMar 29, 2024 · Example 13 Find the roots of the following quadratic equations, if they exist, using the quadratic formula: (i) 3x2 5x + 2 = 0 3x2 5x + 2 = 0 Comparing equation with … Web3x^2+ (k-9)x+k=0 since one of the root of the is 2 substituting x=2 in the equation we get, 12-18=2k-k hence k=-6 Madhu MSc in Mathematics Author has 107 answers and 35.6K answer views 1 y 2is a root of given equation so satisfy this equation. 3.2^2–9.2=2k-k 12–18=k k=—6 Satanand Dhurwey

WebMar 29, 2024 · Example 13 Find the roots of the following quadratic equations, if they exist, using the quadratic formula: (i) 3x2 5x + 2 = 0 3x2 5x + 2 = 0 Comparing equation with ax2 + bx + c = 0 Here, a = 3, b = 5, c = 2 We know that, D = b2 4ac D = ( 5)2 4 (3) (2) D = 25 24 D = 1 So, the roots of the equation is given by x = ( )/2 Putting values x = ( ( 5) … WebIf [math]r_1, \ r_2 [/math] are the roots of the quadratic polynomial, then: [math]3x^2 - 4x + k = 3 (x - r_1) (x - r_2) [/math] Expanding the RHS: [math]3x^2 - 4x + k = 3x^2 -3 (r_1 + r_2)x + 3r_1r_2 [/math] This gives: [math]\begin {cases} 3 (r_1 + r_2) = 4 \\ 3r_1r_2 = k \end {cases} [/math] Since one root is three times the other, we can take:

WebJun 14, 2024 · Best answer. Given that one root of equation 3x2 − 10x + k = 0 is reciprocal to other root. Hence, let the roots are α and 1 α. 1 α. Therefore, product of roots = α . 1 α = k …

WebMar 22, 2024 · If one root of the quadratic equation 3x 2 + px + 4 = 0 is 2/3, then find the value of p and the other root of the equation. This video is only available for Teachoo black users Subscribe Now Get live Maths 1-on-1 Classs - Class 6 to 12 Book 30 minute class … heyitsahinWebFree quadratic equation calculator - Solve quadratic equations using factoring, complete the square and the quadratic formula step-by-step heyitsbessma tiktokWebCorrect option is A) 3x 2+ax−2=0 Since, one root is 1, then x=1 ⇒ 3(1) 2+a(1)−2=0 ⇒ 3+a−2=0 ⇒ a+1=0 ⇒ a=−1 ⇒ Now, it is given that ax 2+6ax−b=0 has equal roots. ∴ b … heyitsameWebNov 11, 2024 · If one root of the quadratic equation 3x2+px+4=0 is 2/3. Find the value of p and other root Math Army 117K subscribers Subscribe 542 23K views 2 years ago If one root of the quadratic … heyitsau-ra esiintymiset 2022WebMar 21, 2024 · Assertion (A) : If one root of the quadratic equation 4x2−10x+(k−4)=0 is reciprocal of the other, then value of k is 8 . Reason (R): Roots of the quadratic equation … heyitskayWebFeb 2, 2024 · Root of the equation 3x 2 - 8kx = -16 Solution: As, x = 4 is the root of the equation ⇒ 3x 2 - 8kx +16 = 0 ⇒ 3 × 4 2 - 8k × 4 + 16 = 0 ⇒ 48 - 32k + 16 = 0 ⇒ 32k = 64 ⇒ … heyitsfeiii gossipWebThe roots of the quadratic equation 3x 2 – kx + 7 = 0 are additive inverse. Concept used: Additive inverse means sum of 2 things equals to zero. Calculation: Let the roots be α and … hey it's jackeline youtube