SOLUTION: Hello! I'm having trouble getting the correct answer for this problem with the quadratic formula. Find all solutions of the equation and express them in the form a + bi. 4x^2-

Question 196505: Hello!
I'm having trouble getting the correct answer for this problem with the quadratic formula.
Find all solutions of the equation and express them in the form a + bi.
4x^2-8x+7=0
thanks!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
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

Subtract from 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 Break up the fraction

or Reduce

or Rearrange the terms.

So the answers are or

which are in form where and
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