SOLUTION: Hi, What is y = x^2 + 4x - 1 find the x-intercepts Thanks!

Question 340338: Hi,
What is y = x^2 + 4x - 1
find the x-intercepts
Thanks!
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
What is y = x^2 + 4x - 1
.
To find the x-intercepts, set y=0 and solve for x:
0 = x^2 + 4x - 1
.
Applying the quadratic formula gives you:
x = {0.236, -4.236}
So, your x-intercepts are at:
(0.236,0) and (-4.236,0)
.
Details of quadratic to follow:

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=20 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.23606797749979, -4.23606797749979. Here's your graph:

RELATED QUESTIONS
Find the x-intercepts y=x^2+4x-1 (answered by checkley77)

Find the x-intercepts. y = x^2 + 4x -... (answered by KnightOwlTutor)

Find the x-intercepts. y = x^2 + 4x -... (answered by jojo14344)

Find the x-intercepts y = x^2 + 4x -... (answered by jojo14344)

Find the x-intercepts Y= x^2+4x-1 (answered by actuary)

Find the x intercepts y=x^2-3x-1... (answered by Nate)

Hi need some help with this one: Find the vertex, graph and find the x-intercepts of... (answered by Gogonati)

What is the distance between the x- and the y- intercepts of... (answered by richwmiller)

Find the x-intercepts of f(x) = 4x^2-4x+1 Thanks very... (answered by josgarithmetic)