Question

if a and b are the zeroes of the quadratic polynomial f(x)=x²+x-2,the find the value of a²+b².​

Answer 1

Answer:

x^2+x-2

=x^2+2x-x-2

=x(X+2) - 1(x+2)

=(x+2) (x-1)

....

x+2 = 0

x= -2

a= -2

....

x-1=0

x = 1

b=1

.....

a^2 + b^2 = (-2)^2 + (1)^2

= 4 + 1

= 5

Answer 2

Step-by-step explanation:

a²+b²=(a+b)²-2ab

In equation:

x²+x-2=0

(a+b)=-b/a=-1/1=-1.

ab=c/a=-2/1=-2

a²+b²=(-1)²-2(-2)

=1+4=5.

Hope helps u.