document.write( "Question 89126: I can't get this problem right can you show me how to ork it?
\n" ); document.write( "Solve by using the quadratic formula. x2 = –5x + 11 \n" ); document.write( "

Algebra.Com's Answer #64781 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Solve by using the quadratic formula. x^2 = –5x + 11
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\n" ); document.write( "Put it in the general form; ax^2 + bx + c = 0
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\n" ); document.write( "x^2 + 5x - 11 = 0
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\n" ); document.write( "In this problem, a=1, b=5, c=-11
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\n" ); document.write( "The quadratic formula:
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
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\n" ); document.write( "Substitute for a, b, and c, and you have:
\n" ); document.write( " $\"x+=+%28-5+%2B-+sqrt%28+5%5E2+-+%284+%2A+1%2A+-11%29+%29%29%2F%282%2A1%29+\"$
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\n" ); document.write( " $\"x+=+%28-5+%2B-+sqrt%28+25+-+%28-44%29+%29%29%2F%282%29+\"$
\n" ); document.write( ":
\n" ); document.write( " $\"x+=+%28-5+%2B-+sqrt%28+25+%2B+44%29+%29%2F%282%29+\"$ ; minus a minus is a plus
\n" ); document.write( ":
\n" ); document.write( " $\"x+=+%28-5+%2B-+sqrt%28+69+%29%29%2F%282%29+\"$
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\n" ); document.write( "1st solution:
\n" ); document.write( " $\"x+=+%28-5+%2B+8.3066%29%2F2\"$
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\n" ); document.write( " $\"x+=+%2B+3.3066%2F2\"$
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\n" ); document.write( "x = +1.6533
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\n" ); document.write( "2nd solution:
\n" ); document.write( " $\"x+=+%28-5+-+8.3066%29%2F2\"$
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\n" ); document.write( " $\"x+=+-13.3066%2F2\"$
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\n" ); document.write( "x = -6.6533
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\n" ); document.write( "It's good idea to check solution by substitution in the original equation:
\n" ); document.write( "x^2 = -5x + 11
\n" ); document.write( "Substitute 1.6533 for x:
\n" ); document.write( "1.6533^2 = -5(1.6533) + 11
\n" ); document.write( "2.7334 = -8.2665 + 11
\n" ); document.write( "2.7334 ~ 2.7335
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\n" ); document.write( "You can check the solution using the 2nd solution
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\n" ); document.write( "Can you handle this now? \n" ); document.write( "

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