Question 923975
Peter is 7 years old and Mary is 3 years old. In how many years will the product of their ages be 96? 
I need a quadratic equation to solve this question
<pre>
Let amount of years when product of their ages is 96, be Y
At that time(Y years from now), Peter will be 7 + Y, and Mary will be 3 + Y
Thus, we get:
(7 + Y)(3 + Y) = 96 
{{{21 + 10Y + Y^2 = 96}}} ----- FOILing left side of equation
{{{21 - 96 + 10Y + Y^2 = 0}}}
{{{- 75 + 10Y + Y^2 = 0}}}, or {{{Y^2 + 10Y - 75 = 0}}}
There's your quadratic equation
Solve for Y, the amount of years from now, when their ages will multiply to 96