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

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

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