Question

find the zeros of the quadratic polynomial 5 x square minus 2 root 5 x minus 3 and verify the relationship between the zeros and the coefficients

Answer 1

5x² - 2√5 x - 3 = 0

Using the quadratic formula

a = 5
b= -2√5
c = -3

x = [-(-2√5) +/-√(-2√5)² - 4(5)(-3)]/ 2(5)

x = [2√5 +/- √80] / 10

x = [2√5 +/- 4√5] / 10


x = (2√5 + 4√5)/10 = 3/5 (√5)

or

x = [2√5 - 4/5] / 10 = 1/5 (√5)

Both the zeros are related to the coefficient of x²

Answer 2

Step-by-step explanation:

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