8xx47x111 8xx47x111SolutionGiven that 8xx 4 7x 1 11 8x2

Solution

Given that

8x(x - 4)= -7(x + 1) + 11

8x² - 32x = -7x - 7 + 11

8x² - 32x + 7x = 4

8x² - 25x - 4 = 0 ...................................1

if the equation is in the quadratic form of ax² + bx + c = 0 then the solution is ,

x = [ -b ± (b² - 4ac ) ]/2a

From equation 1

a = 8 , b = -25 , c = -4

x = [ -(-25) ± ( (-25)² - 4.8.(-4) ) ]/2.8

x = [ 25 ± (625 + 128) ] / 16

x = [ 25 ± (753) ] /16

Therefore ,

The solution is ,

x = [ 25 + (753) ] /16 , [ 25 - (753) ] /16