SOLUTION: Solve by using the quadratic formula. (18/w^2) - (10/w) + 1 = 0 If your answer contains a radical, express it in simplified form. Do not convert to decimal form.

Question 213918: Solve by using the quadratic formula.
(18/w^2) - (10/w) + 1 = 0
If your answer contains a radical, express it in simplified form.
Do not convert to decimal form.
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Solve by using the quadratic formula.

If your answer contains a radical, express it in simplified form.
Do not convert to decimal form.

Step 1. Multiply by to get rid of denominators

Step 2. Using the quadratic formula

where a=1, b=-10 and c=18 yields the following steps

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=28 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 7.64575131106459, 2.35424868893541. Here's your graph:

Step 4. Based on the above steps we can simplify the solutions as follows

AND

Step 5. ANSWER: So solutions are and

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J

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