Question

form quadratic equation whose roots are a + b and a minus b​

Answer 1

Roots of equation =(a+b)(a-b)

Sum of roots = a+b+a-b = 2a

Product of roots = a+b*a-b = a²-b²

Equation = x²- 2ax + a²-b²

Answer 2

Answer: x^2 -2ax + (a^2 - b^2)

Step-by-step explanation:

Let alpha = a + b and beta = a - b

Then,

p(x) = x^2 - (alpha + beta)x + alpha × beta

= x^2 - (a+b+a-b)x + (a+b)(a-b)

= x^2 - 2ax + (a^2 - b^2)