Question

find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients
(g) x^2-9​

Answer 1

Answer:

given, quadratic equation =x^2-9

x^2=9

x=√9,-√9

α=√9

β=-√9

sum of zeros (α+β)=√9+(-√9)

=√9-√9

= 0

verification : sum of zeros =-b/a(-coefficient of x/coefficient of x^2)

=-0/1=0

product of zeros (αβ)=√9(-√9)

=-9

verification : product of zeros =c/a(constant term /coefficient of x^2)

=-9/1

=-9