SOLUTION: One diagonal of a rhombus is three more than twice the length of the other diagonal. If the area of the rhombus is 50 square inches, what are the lengths of the diagonals?

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Question 954914: One diagonal of a rhombus is three more than twice the length of the other diagonal. If the area of the rhombus is 50 square inches, what are the lengths of the diagonals?
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
= one diagonal; = the other diagonal;

Subtract 50in^2 from each side.
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=202.25 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 6.36073132666395, -7.86073132666395. Here's your graph:

d=6.36 ANSWER: One of the diagonals is 6.36 inches
2d+3=2(6.36)+3=12.72+3=15.72 in ANSWER 2: The other diagonal is 15.8 inches
CHECK:
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