SOLUTION: I�m really confused with this; please help me solve this problem. a) Solve x^2+7x-1=0 b) Find the x-intercepts of f(f) =x^2+7x-1 What are the solutions? X=? (Type exact answer

Question 217145: I�m really confused with this; please help me solve this problem.
a) Solve x^2+7x-1=0
b) Find the x-intercepts of f(f) =x^2+7x-1
What are the solutions?
X=?
(Type exact answers, using radicals as needed. Use a comma to separate answers as needed)

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
a) Solve x^2+7x-1=0
b) Find the x-intercepts of f(f) =x^2+7x-1
That's the same function twice (assuming you mean f(x))

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=53 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.140054944640259, -7.14005494464026. Here's your graph:

----
x = (-7 + sqrt(53))/2
x = (-7 - sqrt(53))/2

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