given fx24x24x286 solve fx4Solutionfx24x24x286 find fx 4 4
given f(x)=-24x+24x^2-86, solve f(x)=4
Solution
f(x)=-24x+24x^2-86
find f(x) =4
4 = -24x+24x^2-86
24x^2 - 24x -90 =0
Solve the quadratic equation :
x = ( 24 +/- sqrt(24^2 +4*90*24) )/48 = ( 24 +/- 96)/48
= 120/48 , -72/48
x = 30/12 , - 18/12
x = 15/6 , -9/6 = 5/2 , -3/2
