SOLUTION: Give the exact and approximate solutions to three decimal places. x^2-5x+3=0 exact solutions are x= approximate solutions to 3 decimal places are x=

Question 457251: Give the exact and approximate solutions to three decimal places.
x^2-5x+3=0
exact solutions are x=
approximate solutions to 3 decimal places are x=
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=13 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 4.30277563773199, 0.697224362268005. Here's your graph:

4.303 and .697
exact figures.
x%5B1%5D+=+%28-%28-5%29%2Bsqrt%28+13+%29%29%2F2%5C1+
x%5B2%5D+=+%28-%28-5%29-sqrt%28+13+%29%29%2F2%5C1+
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