the solutions for an equation 9x^2+12x-32=0

Question

solutions for equation ax2+bx+c, 9x^2+12x-32=0.

Answer 1

9x^2+12x-32 = 0

Compare it to quadratic formula ax^2+bx+c = 0

Then the roots are [-b±√[b^2-4ac]]/2a

a = 9, b = 12, c = -32

x = [-12±√(144-4*9*(-32))]/2*9

x = [-12±√144+1152)]/18

x = [-12±√1296]/18

x = [-12±36]/18

x = (-12+36)/18 and x = (-12-36)/1

x = 24/18 and x = - 48/18

x = 4/3 and x = - 8/3

Solutions of  x = 4/3 and x = - 8/3.