SOLUTION: the base of a triangle is four more than twice its heights. if the area of the triangle is 45 square centimeters, find its base and height

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Question 918851: the base of a triangle is four more than twice its heights. if the area of the triangle is 45 square centimeters, find its base and height
Answer by asuar010(338)   (Show Source): You can put this solution on YOUR website!
first rewrite that b=2h+4 the write the formula for Area which is then substitute and you get then substitute then then then
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=736 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 5.78232998312527, -7.78232998312527. Here's your graph:
and then we only use the positive solution
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