Question

Alpha square +beta square =??

Answer 1

Answer:

alpha² + beta² = (alpha + beta)² - 2alpha*beta

= (-b/a)² - 2*(c/a)

Step-by-step explanation:

So, we know that (a+b)²= a²+b²+2ab

=> (aphla + beta)² = alpha²+beta²+2alpha*beta

Putting 2alpha*beta on the LHS, we have:

=> (apna+beta)² - 2alpha*beta = alpha² + beta²

So,

alpha ² + beta ² = ( alpha + beta ) ² - 2alpa*beta

If you are given the equation: ax² + bx + c = 0,

Then, your answer comes out to be :-

alpha ² + beta ² = (-b/a)² - 2*(c/a)

Hope it Helps!