SOLUTION: find the x-intercepts y = x^2 + x

SOLUTION: find the x-intercepts y = x^2 + x - 6

Question 102110: find the x-intercepts
y = x^2 + x - 6
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
We can find the x intercepts if we let y=0 to get

so we can solve for x

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=1, and c=-6

Square 1 to get 1

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

Lets look at the first part:

Add the terms in the numerator

Divide

So one answer is

Now lets look at the second part:

Subtract the terms in the numerator

Divide

So another answer is

So our solutions are:

or

RELATED QUESTIONS
find the x intercepts... (answered by tutorcecilia)

find the x-intercepts. Y= x^2+ x - 6 (answered by stanbon)

Graph {{{y=x^2-5x-6 }}} and find x-intercepts, y-intercepts and the... (answered by jim_thompson5910)

find the x-intercepts and y-intercepts f(x) = -x^2 +4x +12 need x-intercepts and... (answered by robertb)

find the x-intercepts y = x^2- x +... (answered by checkley71)

Find the x-intercepts and y-intercepts of the graph of the equation.... (answered by jsmallt9)

find the x intercepts... (answered by Nate)

For equation, find the x-intercepts. y=x^2+x-6 (answered by checkley75)

Find the x-intercepts and y-intercepts for f(x). {{{f(x)=x^2-7x+2}}} (answered by solver91311,tam144,MathTherapy)