SOLUTION: please help. find the roots of the quadratic x^2-4x-6=0 by using the quadratic equation x= -b+ (with small dash under the plus sign) sqrt(b^2-4ac) / 2a epress in simplest form ...T

Question 141179: please help. find the roots of the quadratic x^2-4x-6=0 by using the quadratic equation x= -b+ (with small dash under the plus sign) sqrt(b^2-4ac) / 2a epress in simplest form ...Thank you very much.
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=-4, and c=-6

Negate -4 to get 4

Square -4 to get 16 (note: remember when you square -4, 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

Reduce

or

---------------------------------

Answer:

So our solutions are

or
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