Question

Solve the equation 4x² – 5x – 3 = 0 and give your answer correct to two decimal places

Answer 1

Given equation is 4x²  -  5x - 3 = 0.

Comparing with ax² + bx + c = 0,we get

a = 4, b = -5 and c = -3

`:. x = (-b +- sqrt(b^2 - 4ac))/2a`

= `(-(-5)+-sqrt((-5)^2 - 4(4)(-3)))/(2xx4)`

`= (5 +-sqrt(25 + 48))/8`

= `(5+-sqrt(73))/8`

= `(5 +- 8.54)/8`

= `13.54/8 or (-3.54)/8`

= 1.6925 or - 0.4425

= 1.69 or -0.44