document.write( "Question 928614: The Age Of Two Children Are 11 And 8 years. In How Many Years' Time Will The Product Of Their Age Be 208? \n" ); document.write( "
Algebra.Com's Answer #563732 by TimothyLamb(4379)\"\" \"About 
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x = jack age now = 11
\n" ); document.write( "y = jill age now = 8
\n" ); document.write( "z = number of years from now when the product of their ages will be 208
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\n" ); document.write( "(x + z)(y + z) = 208
\n" ); document.write( "(11 + z)(8 + z) = 208
\n" ); document.write( "88 + 19z + zz = 208
\n" ); document.write( "zz + 19z + 88 - 208 = 0
\n" ); document.write( "zz + 19z - 120 = 0
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\n" ); document.write( "the above quadratic equation is in standard form, with a=1, b=19 and c=-120
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\n" ); document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:
\n" ); document.write( "1 19 -120
\n" ); document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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\n" ); document.write( "the quadratic has two real roots at:
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\n" ); document.write( "z = 5
\n" ); document.write( "z = -24
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\n" ); document.write( "the negative root doesn't fit the problem statement, so use the positive root:
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\n" ); document.write( "answer:
\n" ); document.write( "z = number of years from now when the product of their ages will be 208 = 5
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\n" ); document.write( "Solve and graph linear equations:
\n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php
\n" ); document.write( "---
\n" ); document.write( "Solve quadratic equations, quadratic formula:
\n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php
\n" ); document.write( "---
\n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables:
\n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php
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