SOLUTION: 1/2x^2 - x -2 =0 answer: x= 1+- sqrt(5) im not good with fractons trying to figure out how my book got this answer

Question 185542: 1/2x^2 - x -2 =0

answer: x= 1+- sqrt(5)

im not good with fractons trying to figure out how my book got this answer
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Multiply EVERY term by the LCD 2 to clear the fractions.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Simplify the square root (note: If you need help with simplifying square roots, check out this solver)

Break up the fraction.

Reduce.

So the solutions are

This really means that the solutions are or (since the symbol

tells you that you have a "plus" or a "minus" in the place of the

)

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