|
Question 818436: Find the side of a square whose diagonal is 6 ft longer than a side.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! d = sqrt( ss + ss )
d = s + 6
---
d = sqrt( ss + ss )
dd = ss + ss
(s + 6)(s + 6) = 2s^2
s^2 + 12s + 36 = 2s^2
s^2 - 12s - 36 = 0
---
the above quadratic equation is in standard form, with a=1, b=-12, and c=-36
---
to solve the quadratic equation, by using the quadratic formula, plug this:
1 -12 -36
into this: https://sooeet.com/math/quadratic-equation-solver.php
---
the two real roots (i.e. the two solutions), of the quadratic are:
s = 14.4852814
s = -2.48528137
---
the negative root doesn't make sense for length, so use the positive root:
---
answer:
s = 14.4852814 ft
---
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
|
|
|
| |
