Question

What are the zeros of the quadratic function f(x) = 2x2 + 16x – 9?

x= -4- and x = -4+
x=4 - 125 and x = 4+ / 25
x=-4-1 and x = 4+
• x= -4- and x = -4+

Answer 1

The zeros of the function are -0.488 and -7.39

Explanation:

Given the quadratic function

f(x) = 2x²+16x-9

The zeros of the function is gotten at when f(x) = 0

2x²+16x-9 = 0

Using the general equation

x = -b±√b²-4ac/2a

From the equation, a = 2, b = 16 and c= -9

x = -16±√16²-4(2)(-9)/2(2)

x = -16±√256-72/4

x = -16±√184/4

x = -16+13.56/4

x = -16+13.56/4 and -16.13.56/4

x = --2.44/5 and -29.56/4

x = -0.488 and -7.39