SOLUTION: Use the quadratic formula to solve the euation. If the equation has no real number solutions, so state. 3x^2 + x

SOLUTION: Use the quadratic formula to solve the euation. If the equation has no real number solutions, so state. 3x^2 + x - 3 = 0

Question 248210: Use the quadratic formula to solve the euation. If the equation has no real number solutions, so state.
3x^2 + x - 3 = 0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: Quadratic Formula

Let's use the quadratic formula to solve for x:

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=3, b=1, and c=-3

Square 1 to get 1

Multiply to get

Combine like terms in the radicand (everything under the square root)

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

Multiply 2 and 3 to get 6

So now the expression breaks down into two parts

or

Now break up the fraction

or

Simplify

or

So the solutions are:

or

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