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Question
Solve the following equation by using formula :
2x2 – 7x + 6 = 0
Solution
2x2 – 7x + 6 = 0
Here a = 2, b = -7, c = 6
∴ D = b2 - 4ac
= (-7)2 - 4 x 2 x 6
= 49 - 48
= 1
∴ x = `(-b ± sqrt(b^2 - 4ac))/(2a)`
= `(-b ± sqrt("D"))/(2a)`
= `(-(-7) ± sqrt(1))/(2 xx 2)`
= `(7 + 1)/(4)`
∴ x1 = `(7 + 1)/(4)`
= `(8)/(4)`
= 2
and
x2 = `(7 - 1)/(4)`
= `(6)/(4)`
= `(3)/(2)`
∴ x = 2, `(3)/(2)`.
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