Question

if one root of the quadratic equation x²-7x+k=0 is 2, find the value of k

Answer 1

Answer:

In the equation $x^{2} -7x+k=0$, the value of $k=10$

Step-by-step explanation:

Since $2$ is a root of the given equation, when we substitute $2$ for $x$, we get

$x^{2} -7x+k=2^{2} -7(2)+k\\ =4-14+k\\ =-10+k=0$

Therefore $k=10$.

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