How to complete the square of 6x^2-9x-2
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How to complete the square of 6x^2-9x-2

[From: ] [author: ] [Date: 11-06-15] [Hit: ]
......
Full solution please :) thanks.

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f(x) = 6x²-9x-2

Complete the Square Formula:
ax²+bx+c → a(x+b/2a)²+(c-b²/4a) → a(x+h)²+k

6x²-9x-2, a = 6, b = -9, c = -2
→ (6)[x+(-9)/2(6)]²+[(-2)-(-9)²/4(6)]
→ 6[x+(-9)/(12)]²+[-2-(81)/(24)]
→ 6(x-¾)²+(-2-27/8)
→ 6(x-¾)²+(-43/8)
→ 6(x-¾)²-43/8

Solution: f(x) = 6(x-¾)²-43/8

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This answer is not in its simplest form, as it has a fraction inside the bracket.

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Complete the square for this function:
f(x) = 6x² - 9x - 2
f(x) = (144x² - 216x - 48) / 24
f(x) = [(12x - 9)² - 129] / 24
f(x) = [(12x - 9)² - 129] / 24
f(x) = [{3(4x - 3)}² - 129] / 24
f(x) = [9(4x - 3)² - 129] / 24
f(x) = [3(4x - 3)² - 43] / 8
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