document.write( "Question 640452: (t-4)^2 -32 = (t+4)^2 \n" ); document.write( "

Algebra.Com's Answer #403198 by htmentor(1343) $\"\"$ $\"About$

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I assume we are supposed to solve for t?
\n" ); document.write( "When we apply FOIL to the quadratic terms, the t^2 and the constant term, 16, will cancel:
\n" ); document.write( "(t-4)^2 -32 = (t+4)^2 -> -8t - 32 = 8t
\n" ); document.write( "16t = -32
\n" ); document.write( "This gives t = -2
\n" ); document.write( "Check:
\n" ); document.write( "(-6)^2 - 32 = 4 = (2)^2 \n" ); document.write( "

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