If 5 is one of the root of the equation 2x²+kx-20=0 then what is k? A. -6 B. 6 C. 10 D. -10. Created by davidnapay. Math

✏️QUADRATIC - If 5 is one of the root of the equation 2x² + kx - 20 = 0 then what is k? A. -6 B. 6 C. 10 D. -10 - We can substitute x as 5 in the equation to find the value of k. The value of k is -6. #CarryOnLearning

If 5 is one of the root of the equation 2x²+kx-20=0 then what is k? A. -6 B. 6 C...

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✏️QUADRATIC

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$\underline{\mathbb{QUESTION:}}$

- If 5 is one of the root of the equation 2x² + kx - 20 = 0 then what is k?

A. -6
B. 6
C. 10
D. -10

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$\underline{\mathbb{ANSWER:}}$

$\qquad\LARGE\rm» \:\: \green{A. \: \text-6}$

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$\underline{\mathbb{SOLUTION:}}$

- We can substitute x as 5 in the equation to find the value of k.

${2x}^{2} + kx - 20 = 0$

$2(5)^{2} + k(5) - 20 = 0$

$2(25) + k(5) - 20 = 0$

$50 + 5k - 20 = 0$

$5k + 30 = 0$

$5k = \text - 30$

$\frac{ \cancel5k}{ \cancel5} = \frac{ \text - 30}{5} \\$

$k = \text - 6$

$\therefore$ The value of k is -6.

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#CarryOnLearning

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