SOLUTION: If w is equal to 1cm in this : w:l equals l:w+l What should be the equivalent of "l"?

Question 958167: If w is equal to 1cm in this : w:l equals l:w+l
What should be the equivalent of "l"?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
For clarity, let x=l (to prevent confusion with one)
Put value in for w:
Multiply by x
Multiply by 1cm+x
Subtract (x+1)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=5 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 1.61803398874989, -0.618033988749895. Here's your graph:

ANSWER: x=1.62 or -0.62 (Remember x is l)
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