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Find the equation that is equivalent to the quadratic equation shown. Explain why x² - 6x - 27 = 0 A.) x(x - 3) = 27 B.) (x - 6)² = 63 C.) (x - 3)² = 36 D.) (x - 3)² = 28

Find the equation that is equivalent to the quadratic equation shown. Explain why x² - 6x - 27 = 0 A.) x(x - 3) = 27 B.) (x - 6)² = 63 C.) (x - 3)² = 36 D.) (x - 3)² = 28
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3 votes
Find the equation that is equivalent to the quadratic equation shown. Explain why

x² - 6x - 27 = 0
A.) x(x - 3) = 27
B.) (x - 6)² = 63
C.) (x - 3)² = 36
D.) (x - 3)² = 28

asked
User Mister Lucky
by
8.4k points

1 Answer

0 votes
C - (x-3)^2=36

If we expand (x-3)^2=36:

(x-3)(x-3)=36
x^2-3x-3x+9=36
x^2-6x+9=36

Then subtract 36

x^2-6x-27=0
answered
User Kokodoko
by
8.0k points
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