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Virgil Connelly

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3y ago
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14y ago

x2 + (x-2)2 = (x-4)2

Eliminate parentheses:

x2 + x2 - 4x + 4 = x2 - 8x + 16

Collect terms on the left side:

2x2 - 4x + 4 = x2 - 8x + 16

Subtract x2 from each side:

x2 - 4x + 4 = -8x + 16

Add 8x to each side:

x2 + 4x + 4 = 16

Subtract 16 from each side:

x2 + 4x - 12 = 0

Factor the left side:

(x - 2) (x + 6) = 0

from which:

x = 2

x = -6

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Q: What is x squared plus x-2 squared equals x-4 squared?
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