Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients:

Question

Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients: x 2 – 5

Philoid · Accepted Answer

Let f(x) = x² – 5

Put f(x) = 0

x² – 5 = 0

(x – √5) (x + √5) = 0

∴ x = √5 or x = -√5

Now, sum of zeroes

Product of zeroes

Hence, relationship verified.