SOLUTION: What are the length and width if the length is 3 more than twice the width and the area is 152

Question 937303: What are the length and width if the length is 3 more than twice the width and the area is 152
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = length
y = width
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x = 2y + 3
xy = 152
(2y + 3)y = 152
2yy + 3y - 152 = 0
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the above quadratic equation is in standard form, with a=2, b=3 and c=-152
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
2 3 -152
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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the quadratic has two real roots at:
---
y = 8
y = -9.5
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the negative root doesn't fit the problem statement, so use the positive root:
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y = 8
x = 2y + 3
x = 2*8 + 3
x = 19
---
answer:
x = length = 19
y = width = 8
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