real world quadratic

Question

f(x)=-16x^2+24x+2 Find x-intercepts with show steps.

Answer 1

Lesya P.

f(x)=-16x²+24x+2

0=-16x²+24x+2

Divide both sides by 2

0= -8x²+12x+1

a = -8

b = 12

c = 1

Use the Quadratic Formula to find the x intercepts

x = (-b±(b²-4ac)^1/2)/2a

You can look up the Quadratic Formula

x= 1.579 and x= -0.0791

You can also check the x intercepts by graphing your function at desmos.com