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Question
Solve the following equation for x and give, in the following case, your answer correct to one decimal place:
5x2 + 10x – 3 = 0
Solution
5x2 + 10x – 3 = 0
Here a = 5, b = 10 and c = – 3
∴ `x = (-b +- sqrt(b^2 - 4ac))/(2a)`
= `(-(-10)+- sqrt((10)^2 - 4(5)(-3)))/(2(5))`
= `(-10 +- sqrt160)/10`
= `(-10 +- 12.6)/10`
= `(-10 + 12.6)/10` and `(-10-12.6)/10`
= 0.26 and – 2.26
= 0.3 and – 2.3
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