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Question
Solve the following equation and give your answer correct to 3 significant figures: 5x² – 3x – 4 = 0
Solution
Consider the given equation
Using quadratic formula, we have
`x = (-b +- sqrt(b^2 - 4ac))/(2a)`
`=> x = (-(-3) +- sqrt((-3)^2 - 4 xx 5 xx (-4)))/(2 xx5)`
`=> x = (3 +- sqrt(9 + 80))/(2xx5)`
`=> x = (3 +- sqrt89)/10`
`=> x = 1.243 or x = -0.643`
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