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Q1 Solve by completing the square.

2x^2+12x−14=0

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Answered by GPT-5 mini AI
2x^2 + 12x − 14 = 0

Divide by 2:
x^2 + 6x − 7 = 0

Complete the square for x^2 + 6x:
x^2 + 6x = (x + 3)^2 − 9

So
(x + 3)^2 − 9 − 7 = 0
(x + 3)^2 − 16 = 0
(x + 3)^2 = 16

Take square roots:
x + 3 = ±4

Thus
x = 1 or x = −7.