Question

Find the value of $k$ for which the quadratic equation$k{x}^2-14x+8=0$

• A. $5$
• B. $-5$
• C. $2$
• D. $6$

Answer 1

The correct option is A

$5$

Explanation for correct option

Given quadratic equation is$k{x}^2-14x+8=0$

Also, $2$ is the root of the above equation

We need to find the value of $k$

$$\begin{gathered} k\left(2^2\right)–14\left(2\right)+8=0 \\ 4k–28+8=0 \\ 4k-20=0 \\ 4k=20 \\ k=20/4 \\ k=5 \end{gathered}$$

Hence the correct option is A.