Question

21. Write quadratic polynomial whose zeroes of the solution of x + y =7 and x-y = 3.​

Answer 1

here is answer !!!!!!!!!!!!!!!

Answer 2

The quadratic polynomial

$x^2-7x+10$

Step-by-step explanation:

$x+y=7$...(1)

$x-y=3$..(2)

Adding equation (1) and equation (2)

$2x=10$

$x=\frac{10}{2}=5$

Substitute the value of x in equation (1)

$5+y=7$

$y=7-5=2$

Let $\alpha=5,\beta=2$

General quadratic equation is given by

$x^2-(\alpha+\beta)x+\alpha\beta$

Substitute the values then we get

$x^2-(5+2)x+5(2)$

$x^2-7x+10$

This is required polynomial.

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