SOLUTION: Hi Everyone, I was supposed to solve x^2+10=19....I came up with the solution of +(w/a line under it)3 Am I correct??? I would appreciate anyone reviewing this problem for me...Tha

Question 89352: Hi Everyone, I was supposed to solve x^2+10=19....I came up with the solution of +(w/a line under it)3 Am I correct??? I would appreciate anyone reviewing this problem for me...Thanks
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Subtract 19 from both sides

Now 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=10, and c=-19

Square 10 to get 100

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

which split up to

or

and simplify to

or

Which 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
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