document.write( "Question 802317: (2x-2)^2>=(3x-2)(x-3) \n" ); document.write( "

Algebra.Com's Answer #483838 by DrBeeee(684) $\"\"$ $\"About$

You can put this solution on YOUR website!
Given:
\n" ); document.write( "(1) $\"%282x-2%29%5E2%3E=%283x-2%29%2A%28x-3%29\"$ or
\n" ); document.write( "(2) $\"%282x-2%29%5E2-%283x-2%29%2A%28x-3%29%3E=0\"$
\n" ); document.write( "Now expand all parenthesis in (2) to get
\n" ); document.write( "(3) $\"%284x%5E2-8x%2B4%29-%283x%5E2-2x-9x%2B6%29%3E=0\"$ or
\n" ); document.write( "(4) $\"x%5E2%2B3x-2%3E=0\"$
\n" ); document.write( "The parabola of (4) opens upward but goes negative between the limits
\n" ); document.write( "(5) $\"%28-3-sqrt%2817%29%29%2F2%3C=x%3C=%28-3%2Bsqrt%2817%29%29%2F2\"$
\n" ); document.write( "Since the solution domain is for f(x) to greater or equal to zero the answer is
\n" ); document.write( "(6) $\"x%3C=%28-3-sqrt%2817%29%29%2F2\"$ and $\"x%3E=%28-3%2Bsqrt%2817%29%29%2F2\"$ \n" ); document.write( "

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