Select the approximate values of x that are solutions to f(x)=0,where f(x)=-2x^2+6x+5.

Question

select the approximate values for x  that are solutions to f(x)=0,where f(x)=-2x^2+6x+5.

Answer 1

-2x² + 6x + 5 = 0

 

Use the quadratic formula:

 

x = (-6/(-4)) ± (-1/4)√(62-4(-2)(5))

 

x = 3/2 ± (1/4)√96

 

x = 3/2 ± √6 ≅ (1.5) ± 2.45 = 3.95, -0.95