Solve by using formula:- x = -b ± √b²-4ac/ 2a complete solution 3q^2-2q=8
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Explanation:
3q2 = 2q + 8
Sol. 3q2 = 2q + 8
3q2 – 2q – 8 = 0
Comparing with aq2 + bq + c = 0 we have a = 3, b = – 2, c = – 8
b2 – 4ac = (– 2)2 – 4 (3) (– 8)
= 4 + 96
= 100
By Formula method,
q = - b ± √(b2 – 4ac)/2a
∴ q = -(-2) ± √100 /2(3)
∴ q = 2 ±10/6
∴ q = 2 + 10 /6 = 12/6 = 2
∴ q = 2 - 10 /6 = -8/6 = -4/3
q = 2 or -4/3
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