SOLUTION: Will the quadratic equation work on an equation such as x^2

SOLUTION: Will the quadratic equation work on an equation such as x^2 - 3=0?

Question 151432: Will the quadratic equation work on an equation such as x^2 - 3=0?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Take note that really looks like

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

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.

or Break up the expression.

So our answers are or

which approximate to or

Note: even though the quadratic formula works perfectly here, there is a much faster way to solve this problem.

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