SOLUTION: 2. Solve the equation by using the quadratic formula. Use √( ) and � , if you want. a. Write irrational numbers in simplest radical form. b. Explain each step as you

Question 457407: 2. Solve the equation by using the quadratic formula. Use √( ) and � , if you want.
a. Write irrational numbers in simplest radical form.
b. Explain each step as you go.
X^2 + 4x � 8 = 0
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: Quadratic Formula

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=-8

Square 4 to get 16

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 the solutions are:

or

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SOLUTION: 2. Solve the equation by using the quadratic formula. Use &#8730;( ) and � , if you want. a. Write irrational numbers in simplest radical form. b. Explain each step as you

SOLUTION: 2. Solve the equation by using the quadratic formula. Use √( ) and � , if you want. a. Write irrational numbers in simplest radical form. b. Explain each step as you