Question

form a quadratic equation whose sum and products of roots are -5 and 7 respectively​

Answer 1

Step-by-step explanation:

let A and B be the roots of that quadratic equation.

Now according to question:-

A+B = -5 and AB = 7

So, When the sum of roots and product of roots are given, then the quadratic equation will be:-

x² - (A+B)x + AB = 0

So the desired quadratic equation will be

x² - ( -5) x + 7 = 0

x² + 5x + 7 = 0

Answer 2

Answer:

$x^{2} +5x+7=0$

Step-by-step explanation:

x^2−(α+β)x+αβ=0  

α+β=−3  αβ=2 .... (given)

x^2 −(−3)x+2=0

x^{2} +5x+7=0