SOLUTION: the area of the rectangle is 15cm^. find the value of x. height is x and the base is x+3

Question 827232: the area of the rectangle is 15cm^. find the value of x.
height is x and the base is x+3

Found 2 solutions by LinnW, josgarithmetic:
Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!
area = length x width
15 = (x)(x+3)
15 = x^2 + 3x
subtract 15 from each side.
0 = x^2 + 3x -15
x^2 + 3x -15 = 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=69 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 2.65331193145904, -5.65331193145904. Here's your graph:

The value of the other dimension x+3 = 2.65+3 = 5.65
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Area=(base)(height)

'

, not factorable
'

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