SOLUTION: Solve equation for x using quadratic formula 4x^2+5x-2=0 If there is more than one solution, seperate with commas

Question 160437: Solve equation for x using quadratic formula
4x^2+5x-2=0
If there is more than one solution, seperate with commas
Found 2 solutions by jim_thompson5910, checkley77:
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 .

or Break up the expression.

So the answers are or

which approximate to or

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
4X^2+5X-2=0

X=(-5+-SQRT[5^2-4*4*-2])/2*4
X=(-5+-SQRT[25+32])/8
X=(-5+-SQRT57)/8
X=(-5+-7.599)/8
X=(-5+7.599)/8
X=2.5499/8
X=.3187 ANSWER.
X=(-5-7.5499)/8
X=-12.5499/8
X=-1.569 ANSWER.
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