Question 821352: You are creating a deck with an area of 120 square feet. The length is eight feet less than twice the width. What should the dimensions be?
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
Lw = 120
L = 2w - 8
---
Lw = 120
(2w - 8)w = 120
2ww - 8w - 120 = 0
---
the above quadratic equation is in standard form, with a=2, b=-8, and c=-120
---
to solve the quadratic equation, by using the quadratic formula, copy and paste this:
2 -8 -120
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
---
the two real roots (i.e. the two x-intercepts), of the quadratic are:
w = 10
w = -6
---
negative width doesn't make sense so use the positive root:
---
answer:
w= 10 ft
L= 12 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
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
|
|
|
