SOLUTION: Can someone help me solve these and show all work. I am trying to learn algebra but not doing very good I don't think. I confuse myself more than anything. I can usually get the

Question 601702: Can someone help me solve these and show all work. I am trying to learn algebra but not doing very good I don't think. I confuse myself more than anything. I can usually get the answers but showing how I got it is another story all together,
1. Solve x^2 = 3x + 5
2. V=3.5√h,for h
(Distance to horizon from a height)
Thank you all for your help.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
1. Solve x^2 = 3x + 5

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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=29 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 4.19258240356725, -1.19258240356725. Here's your graph:

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2. V=3.5√h,for h
V^2 = 12.25h
h = V^2/12.25 or
h = 4V^2/49
----------
(Distance to horizon from a height)

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