document.write( "Question 6431: -5x+24=6-X
\n" ); document.write( "(the -5x+24 is in the radical) \n" ); document.write( "
Algebra.Com's Answer #3461 by prabhjyot(165)\"\" \"About 
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sqrt(-5x+24)=6-X
\n" ); document.write( "Squaring both sides\r
\n" ); document.write( "\n" ); document.write( "-5x +24 = (6-x)^2
\n" ); document.write( "-5x =24 =x^2 +36 -12x
\n" ); document.write( "x^2- 7x +12=0
\n" ); document.write( "Now solving for x
\n" ); document.write( "step 1:Write down all the different ways to factor the constant coefficient (12) into two negative numbers:
\n" ); document.write( "12 = ( -1)(-12 )
\n" ); document.write( "12 = ( -2)( -6 )
\n" ); document.write( "12 = ( -3)( -4 )\r
\n" ); document.write( "\n" ); document.write( "(Order doesn’t matter. So (-3)(-4) is the same as (-4)(- 3).)\r
\n" ); document.write( "\n" ); document.write( "Step 2: Now, for each possible factorization, add together the two factors. You’re looking for two that add up to the middle coefficient, which is –7.
\n" ); document.write( "-1 – 12 = –13
\n" ); document.write( "-2 – 6 = –8
\n" ); document.write( "-3 – 4 = – 7 < --------------------------- found it!\r
\n" ); document.write( "\n" ); document.write( "The factors which worked out were –3 and –4, so here’s how
\n" ); document.write( "you factor the polynomial:
\n" ); document.write( "(x – 3)(x – 4)\r
\n" ); document.write( "\n" ); document.write( "So the solution to the equation is x=3,4 \n" ); document.write( "
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