document.write( "Question 767787: Dear Ma'am/ Sir,
\n" ); document.write( " Please help me in solving this equation, what are the steps that I should do? Thank you very much for helping me. Here is the question: Find the quadratic equation whose roots are twice the roots of 4x^2+8x-5=0.
\n" ); document.write( "Thanks Again! \n" ); document.write( "

Algebra.Com's Answer #467839 by reviewermath(1029) $\"\"$ $\"About$

You can put this solution on YOUR website!
Q:
\n" ); document.write( "Find the quadratic equation whose roots are twice the roots of $\"4x%5E2%2B8x-5=0\"$
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\n" ); document.write( "In $\"ax%5E2+%2B+bx+%2B+c+=+0\"$ , the sum of the roots is $\"%28-b%29%2Fa\"$ and the product of the roots is $\"c%2Fa\"$ .
\n" ); document.write( "Let r and s be the roots of $\"4x%5E2%2B8x-5=0\"$ .
\n" ); document.write( "So the sum of the roots is r + s = $\"%28-8%29%2F4\"$ = -2 and the product of the roots is rs = $\"%28-5%29%2F4\"$ .
\n" ); document.write( "2r + 2s = 2(r + s) = 2(-2) = -4
\n" ); document.write( "(2r)(2s) = 4(rs) = $\"4%28%28-5%29%2F4%29\"$ = -5
\n" ); document.write( "The new quadratic equation is:
\n" ); document.write( " $\"x%5E2\"$ - (sum of roots)x + (product of roots) = 0
\n" ); document.write( "Answer: $\"highlight%28x%5E2+%2B+4x+-+5+=+0%29\"$ \n" ); document.write( "

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