Question

If sum of the squares of zero of the quadratic polynomial f(x)= x^2-4x+ k is 20 then find the value of k

Answer 1

there u go my friend
hope it helps
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Answer 2

Answer:

$\boxed{2}$

Step-by-step explanation:

Let the roots be $\alpha,\beta$

$\alpha^2+\beta^2=(\alpha+\beta)^2-2\alpha \beta$........(1)

We know that:

$\alpha + \beta = -b/a$

$\implies \alpha+\beta=4$

$\alpha \beta = -c/a$

$\implies \alpha \beta=-k$

Put these values in 1 to get:

$\alpha^2+\beta^2=4^2-2(-k)$

Given $\alpha^2+\beta^2=20$

$20=16+2k$

$\implies 2k=20-16$

$\implies 2k=4$

$\implies k=4/2$

$\implies k=2$

The value of k is 2

Hope it helps you

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