SOLUTION: Find the real solutions of the equation 2x4 - 128x2 = 0 by factoring.
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Question 1065655: Find the real solutions of the equation 2x4 - 128x2 = 0 by factoring.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
2x^4 - 128x^2 = 0
:
factor 2x^2
:
2x^2 * (x^2 - 64) = 0
:
we have two cases
:
1) 2x^2 = 0
x = 0
:
2) x^2 - 64 = 0
x = 8 and x = -8
:
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x = 0, 8, -8
:
check our answers
:
(2 * 0^4) - (128 * 0^2) = 0
0 = 0
:
(2 * 8^4) - (128 * 8^2) = 0
8192 - 8192 = 0
0 = 0
:
(2 * (-8)^4) - (128 * (-8)^2) = 0
8192 - 8192 = 0
0 = 0
:
our answers check
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