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: 5x 2 – 4 – 8x

Philoid · Accepted Answer

Let f(x) = 5x² - 4 – 8x

Put f(x) = 0

5x² - 8x - 4 = 0

5x² - 10x + 2x - 4 = 0

5x(x - 2) + 2(x - 2) = 0

(5x + 2) (x - 2) = 0

Now, sum of zeroes == =

Product of zeroes

Hence, relationship verified.