SOLUTION: x squared-x-6=0

Question 96896: x squared-x-6=0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
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

Negate -1 to get 1

Square -1 to get 1 (note: remember when you square -1, you must square the negative as well. This is because .)

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

Notice when we graph , we get:

and we can see that the roots are and . This verifies our answer
RELATED QUESTIONS
x squared - 6=... (answered by solver91311)

x squared - 6= 0 (answered by checkley75)

x... (answered by jim_thompson5910)

X squared - 5x + 6 = 0 (answered by nerdybill)

x squared - 4x = 0 (answered by JBarnum)

x squared-... (answered by unlockmath)

If x squared - x - 6 =0 then x is (answered by ReadingBoosters)

(x+1)squared + (y+6)squared =... (answered by Alan3354,MathLover1)

(x+3)squared -... (answered by Abbey)