SOLUTION: I need steps and solution to this equation: 1/18h² - 1/2h + 1 = 0 Thanks

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Question 43873: I need steps and solution to this equation:
1/18h² - 1/2h + 1 = 0


Thanks

Answer by aaaaaaaa(138)   (Show Source): You can put this solution on YOUR website!
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=0.0277777777777776 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 5.99999999999999, 3. Here's your graph:



The 5.999999999 is probably just a rounding error, caused by the neverending expansion of . You can consider it as 6.

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