Solve 6x2 11x 72SolutionGiven that 6x2 11x 72 6x2 11x

Solution

Given that

  6x² + 11x = 72

6x² + 11x - 72 = 0

This equation is in the form of ax² + bx + c = 0

Then   

a = 6 , b = 11 , c = -72

on solving

x = [ -b ± (b² - 4ac )^1/2 ] / 2a

x = [ -11 ± ( 11² - 4.6.(-72) )^1/2 ] / 2.6

x = [ -11 ± ( 1849 )^1/2 ] / 12

By simplification

x = 2.67 , -4.5