document.write( "Question 721712: When a number x is added to its square, the total is 90. find the values of x. \n" ); document.write( "

Algebra.Com's Answer #442528 by jsmallt9(3758) $\"\"$ $\"About$

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if \"a number\" is x, then its square would be $\"x%5E2\"$ . And \"When a number x is added to its square, the total is 90\" translates into:
\n" ); document.write( " $\"x+%2B+x%5E2+=+90\"$

\n" ); document.write( "This is a quadratic equation so we want it in standard form. Subtracting 90 and rearranging the terms we get:
\n" ); document.write( " $\"x%5E2%2Bx-90=0\"$
\n" ); document.write( "Factor:
\n" ); document.write( "(x+10)(x-9) = 0
\n" ); document.write( "From the Zero Product Property we get:
\n" ); document.write( "x+10 = 0 or x-9 = 0
\n" ); document.write( "Solving these:
\n" ); document.write( "x = -10 or x = 9
\n" ); document.write( "These are both solutions to the problem. Check them if you like. \n" ); document.write( "

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