SOLUTION: Give exact and approximate solutions to three decimal places. x^2+7x-3=0 The exact solutions are x= ___(Use radicals as needed. Use a comma to separate your answers.) The approx

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Question 473936: Give exact and approximate solutions to three decimal places.
x^2+7x-3=0
The exact solutions are x= ___(Use radicals as needed. Use a comma to separate your answers.)
The approximate solutions to three decimal places are x= ____(Use a comma to separate answers.)
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
For more help, check out this quadratic formula solver.

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=1, b=7, and c=-3

Square 7 to get 49

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 1 to get 2

So now the expression breaks down into two parts

or

Now break up the fraction

or

Simplify

or

So the solutions are:

or

For more help, check out this quadratic formula solver.