SOLUTION: 7x^2-16x-28=0 11x^2=8

Question 195697: 7x^2-16x-28=0
11x^2=8
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 1

Start with the given equation.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Simplify the square root (note: If you need help with simplifying square roots, check out this solver)

or Break up the expression.

or Reduce

So the answers are or

which approximate to or

# 2

Start with the given equation.

Divide both sides by .

Take the square root of both sides.

or Break up the "plus/minus" to form two equations.

or Simplify the square root.

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

Answer:

So the solutions are or .

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