SOLUTION: help me solve the equation. directions i was given: solve the following equation for x. {{{ 3x^2+4x-3=0 }}}

Question 174722: help me solve the equation.
directions i was given:
solve the following equation for x.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

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)

or Break up the expression.

or Reduce.

So the answers are or

which approximate to or

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