Question

Which of the following is the value of k if one root of the quadratic equations

x

2

+ k

x – 8 = 0 is -4 .

a) 0 b) 4 c) 0 or 4 d) 2​

Answer 1

Given question -:

Which of the following is the value of k if one root of the quadratic equations

${x}^{2} + k x - 8$

we have given on root that is x = -4

let's try to solve the question

$= > {x}^{2} + kx - 8 = 0$

$= > { - 4}^{2} + ( - 4)k - 8 = 0$

$= > 16 - 4k - 8 = 0$

$= > 8 - 4k = 0$

$= > - 4k = - 8$

$= > k = \frac{8}{4}$

$k = 2$

Hence the value of k = 2

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