SOLUTION: Find the side of a square whose diagonal is 3 cm longer than a side.

Question 442936: Find the side of a square whose diagonal is 3 cm longer than a side.
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
x2+x2=(x+3)2
2x2=x2+6x+9
x2-6x-9=0

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=72 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 7.24264068711928, -1.24264068711928. Here's your graph:

Throwing out the negative answer, we get each side of the square to be 7.2426406 cm..
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