SOLUTION: how do I work such a problem as y=x^2-4x-9 to obtain x-intercepts on graph. my answer is 2+√13 and 2-√13. Is this correct. Thank you for your help.

Question 729845: how do I work such a problem as y=x^2-4x-9 to obtain x-intercepts on graph.
my answer is 2+√13 and 2-√13. Is this correct. Thank you for your help.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
how do I work such a problem as y=x^2-4x-9 to obtain x-intercepts on graph.
my answer is 2+√13 and 2-√13. Is this correct. Thank you for your help.
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You can complete the square, or use the quadratic equation.
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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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=52 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 5.60555127546399, -1.60555127546399. Here's your graph:

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The on site solver doesn't reduce the terms, your answers are correct.

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SOLUTION: how do I work such a problem as y=x^2-4x-9 to obtain x-intercepts on graph. my answer is 2+&#8730;13 and 2-&#8730;13. Is this correct. Thank you for your help.

SOLUTION: how do I work such a problem as y=x^2-4x-9 to obtain x-intercepts on graph. my answer is 2+√13 and 2-√13. Is this correct. Thank you for your help.