SOLUTION: xsquared-13x=-10

Question 102474: xsquared-13x=-10
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Add 10 to both sides

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=-13, and c=10

Negate -13 to get 13

Square -13 to get 169 (note: remember when you square -13, 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

Now break up the fraction

or

Simplify

or

So these expressions approximate to

or

So our solutions are:
or

Notice when we graph , we get:

when we use the root finder feature on a calculator, we find that and .So this verifies our answer

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
xsquared-13x=-10
x^2-13x+10=0
Use quadratic formula to get:
x = [13 +- sqrt(169-4*10)]/2
x = [13 +- sqrt(129)]/2
x = 12.179 or x = 0.821
===============
Cheers,
stan H.
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