Question

if alpha and beta are the zeroes of quadratic polynomial x²+5x-10 find alpha² + beta²​

Answer 1

X²+5x-10=0

-n(+-)√(b²-4ac)

x= ___________

2a

-5(+-)√25+40

_____________

2

Alpha=. ( -5+√65)/2

beta =( -5-√65)/2

according to the question

( -5+√65 )²/4. + ( -5-√65 )²/4

(25+65)/4

90/4

45/2