document.write( "Question 119663: What are the roots of (4x-3)^2=36? \n" ); document.write( "

Algebra.Com's Answer #87657 by MaxLiebling(13) $\"\"$ $\"About$

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(4x-3)^2=36
\n" ); document.write( "4x-3 = +/-6
\n" ); document.write( "4x = +/-6 + 3
\n" ); document.write( "4x = -3 or +9
\n" ); document.write( "x = -3/4 or +9/4
\n" ); document.write( "proof:
\n" ); document.write( "x1 = -3/4
\n" ); document.write( "(4x-3)^2 = (4*(-3/4)-3)^2 = (-3-3)^2 = -6^2 = 36 ok.
\n" ); document.write( "x2 = +9/4
\n" ); document.write( "(4x-3)^2 = (4*(+9/4)-3)^2 = (+9-3)^2 = 6^2 =36 ok. \n" ); document.write( "

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