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Question
Solve the following equation by using formula :
2x2 – 3x – 1 = 0
Solution
2x2 – 3x – 1 = 0
Here a = 2, b = -3, c = -1
D = b2 - 4ac
= (-3)2 - 4 x 2 x (-1)
= 9 + 8
= 17
∵ x = `(-b ± sqrt('D"))/(2a)`
= `(-(-3) ± sqrt(17))/(2 xx 2)`
= `(3 ± sqrt(17))/(4)`
∴ x = `(3 + sqrt(17))/(4), (3 - sqrt(17))/(4)`.
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