<PRE><B>Question 818659</B>
i + j = 24
i = (24 - j)
ii + jj = 306
---
ii + jj = 306
(24 - j)(24 - j) + jj = 306
576 - 48j + jj + jj = 306
2jj - 48j + 270 = 0
2j^2 - 48j + 270 = 0
---
the above quadratic equation is in standard form, with a=2, b=-48, and c=270
---
to solve the quadratic equation, by using the quadratic formula, plug this:
2 -48 270
into this: https://sooeet.com/math/quadratic-equation-solver.php
---
the two real roots (i.e. the two solutions), of the quadratic are:
j = 15
j = 9
---
answer:
the two numbers are 9 and 15
the product of the two numbers is 135
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Convert fractions, decimals, and percents:
https://sooeet.com/math/fraction-decimal-percent.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php</PRE>