SOLUTION: don't know how to solve this!!! x squared- 5x-6

Algebra.Com
Question 88859: don't know how to solve this!!!
x squared- 5x-6

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=-5, and c=-6



Negate -5 to get 5



Square -5 to get 25



Multiply to get



Combine like terms in the radicand (everything under the square root)



Simplify the square root



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

I don;t know how to solve this.... (answered by Fombitz,MathTherapy)
I don;t know how to do that... x cubed-27 divided by x cubed-3x... (answered by mangopeeler07)
Solve. x²-5x+1=0 I`m stuck on this problem. I don`t even know how to start this... (answered by g1000000)
Can you help me with this problem. I don't know how to solve it.... (answered by CubeyThePenguin)
How to sketch this graph f(x)=3x+2 and g(x)=-5x+2, they are in the same x axis,where to... (answered by Alan3354,josgarithmetic)
2x2-7x+1=0 I know that the left side of the equation must =-1 but I don’t know how to... (answered by robertb)
What should be the value of k in 2x^4-5x^2+k so that x-5 is a zero? I kinda don't know (answered by josgarithmetic,Theo,ikleyn)
Let g(x)=9x²-2. Find the average rate of change of the function as x changes from -8 to... (answered by ikleyn,math_tutor2020)
The vertex of this parabola is at (1, 2). When the x-value is 0, the y-value is 0. What... (answered by josgarithmetic,Theo,MathTherapy)