Question

verify relationship between 4xsquare-9​

Answer 1

Answer:

Let p(x)=4x^2-9

To find zeroes make p(x)=0

4x^2-9=0

(2x)^2-3^2=0

(2x+3)(2x-3)=0

Therefore

2x+3=0 or 2x-3=0

2x=-3 or 2x=3

x=-3/2 or x=3/2

Two zeroes are p=-3/2, q=3/2

ii) compare given equation with ax^2+bx+c=0

a=4, b=0,c=-9

Sum of the zeroes = -b/a

p+q= -0/4=0

p+q=-3/2+3/2=0

iii)product of the zeroes =c/a

pq=-9/4

(-3/2)(3/2)=-9/4