Solve the quadratic equation by completing the square.
3x2 - 6x - 4 = 0
1 answer:
Answer:
-0.53, 2.53 to the nearest hundredth.
Step-by-step explanation:
3x^2 - 6x - 4 = 0
3(x^2 - 2) - 4 = 0
3 [ ( x - 1)^2 - 1] = 4
3(x - 1)^2 - 3 = 4
3(x - 1)^2 = 7
(x - 1)^1 = 7/3
x - 1 = +/- √(7/3)
x = +/- √(7/3) + 1
x = 2.53, -0.53.
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