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