find the zeros of the quadratic polynomial 5 x square minus 2 root 5 x minus 3 and verify the - Maths - Polynomials

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

Akshay kumar · Accepted Answer

Dear student,
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)
Regards

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