document.write( "Question 665369: x^2-16x+550
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Algebra.Com's Answer #413810 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

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Solved by pluggable solver: Quadratic Formula
Let's use the quadratic formula to solve for x:

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\n" ); document.write( " Starting with the general quadratic
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\n" ); document.write( " \"ax%5E2%2Bbx%2Bc=0\"
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\n" ); document.write( " the general solution using the quadratic equation is:
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\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( " So lets solve \"x%5E2-16%2Ax%2B550=0\" ( notice \"a=1\", \"b=-16\", and \"c=550\")
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\n" ); document.write( " \"x+=+%28--16+%2B-+sqrt%28+%28-16%29%5E2-4%2A1%2A550+%29%29%2F%282%2A1%29\" Plug in a=1, b=-16, and c=550
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\n" ); document.write( " \"x+=+%2816+%2B-+sqrt%28+%28-16%29%5E2-4%2A1%2A550+%29%29%2F%282%2A1%29\" Negate -16 to get 16
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\n" ); document.write( " \"x+=+%2816+%2B-+sqrt%28+256-4%2A1%2A550+%29%29%2F%282%2A1%29\" Square -16 to get 256 (note: remember when you square -16, you must square the negative as well. This is because \"%28-16%29%5E2=-16%2A-16=256\".)
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\n" ); document.write( " \"x+=+%2816+%2B-+sqrt%28+256%2B-2200+%29%29%2F%282%2A1%29\" Multiply \"-4%2A550%2A1\" to get \"-2200\"
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\n" ); document.write( " \"x+=+%2816+%2B-+sqrt%28+-1944+%29%29%2F%282%2A1%29\" Combine like terms in the radicand (everything under the square root)
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\n" ); document.write( " \"x+=+%2816+%2B-+18%2Ai%2Asqrt%286%29%29%2F%282%2A1%29\" Simplify the square root (note: If you need help with simplifying the square root, check out this solver)
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\n" ); document.write( " \"x+=+%2816+%2B-+18%2Ai%2Asqrt%286%29%29%2F%282%29\" Multiply 2 and 1 to get 2
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\n" ); document.write( " After simplifying, the quadratic has roots of
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\n" ); document.write( " \"x=8%2B9%2Asqrt%286%29i\" or \"x=8-9%2Asqrt%286%29i\"
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