document.write( "Question 825039: If a number multiplied by 8 and then increased by 5 is 20 more than the square of the number. What is the number? \n" ); document.write( "

Algebra.Com's Answer #496983 by y6n3o9p4(20) $\"\"$ $\"About$

You can put this solution on YOUR website!
Here's another way to write this: $\"8%2Ax%2B5+=+x%5E2%2B20\"$ (x is the unknown number)
\n" ); document.write( "First subtract the right side from the equation, therefore moving it to the left side. $\"8%2Ax%2B5-x%5E2-20+=+0\"$
\n" ); document.write( "Combine like terms. $\"-x%5E2%2B8%2Ax-15+=+0\"$
\n" ); document.write( "This is a quadratic equation, which can be solved using the quadratic formula: $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "Enter the values into the formula and simplify until you have your answer.
\n" ); document.write( "

\n" ); document.write( " $\"x+=+%28-8+%2B-+sqrt%28+64-60+%29%29%2F-2+\"$
\n" ); document.write( " $\"x+=+%28-8+%2B-+sqrt%28+4+%29%29%2F-2+\"$
\n" ); document.write( " $\"x+=+%28-8+%2B-+2%29%2F-2+\"$
\n" ); document.write( "This problem has two possible solutions.
\n" ); document.write( "Solution 1:
\n" ); document.write( " $\"x+=+-6%2F-2+\"$
\n" ); document.write( " $\"x+=+3\"$
\n" ); document.write( "Solution 2:
\n" ); document.write( " $\"x+=+-10%2F-2+\"$
\n" ); document.write( " $\"x+=+5\"$
\n" ); document.write( "The number is 3 or 5. \n" ); document.write( "

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