Question

if x,B are roots of y²-2y-7=0 find values. 1)x² -ß² 2)x³+ ß³​

Answer 1

Step-by-step explanation:

f(x)=x

3

−2x

2

−5x+6=0

α,β and 1 are its roots

⇒x

2

−x−6=0

x

2

−3x+2x−6=0

x(x−3)+2(x−3)=0

(x+2)(x−3)=0

x=−2,3

⇒α=2,β=−3

Hence, the answer is 2,−3.