Question

Using the quadratic formula, which of the following are the zeros of the quadratic equation below

 

 

Answer 1

The quadratic function is y = 2x² - 5x - 1.

To find the zeros of the quadratic function, substitute y = 0 in the above equation.

2x² - 5x - 1 = 0.

Compare the equation 2x² - 5x - 1 = 0 with general form of quadratic equation ax² + bx + c = 0.

a = 2, b = - 5 and c = - 1.

Substitute a = 2, b = - 5 and c = - 1 in the quadratic formula : x = [- b ± √(b² - 4ac)]/2a.

x = [- (- 5) ± √{ (- 5)² - 4(2)(- 1) } ] / 2(2)

x = [ 5 ± √(25 + 8) ] / 4

x = (5 ± √33) / 4.

The option B is correct.