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Question
Solve the following equation for x and give, in the following case, your answer correct to one decimal place:
x2 – 8x + 5 = 0
Solution
x2 – 8x + 5 = 0
Here a = 1, b = – 8 and c = 5
∴ `x = (-b +- sqrt(b^2 - 4ac))/(2a)`
= `(-(-8) +- sqrt((-8)^2 - 4(1)(5)))/(2(1))`
= `(8 +- sqrt(44))/2`
= `(8 +- 2sqrt11)/2`
= `4 +- sqrt11`
= 4 ± 3.3
= 7.3 and 0.7
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