SOLUTION: Solve for x If the solutions are complex numbers, then give soulutions in the usual a + bi form a) x^2

SOLUTION: Solve for x If the solutions are complex numbers, then give soulutions in the usual a + bi form a) x^2 - 6x + 9 = 0 b) x^2 + 4x + 7 = 0

Question 191307: Solve for x
If the solutions are complex numbers, then give soulutions in the usual a + bi form
a) x^2 - 6x + 9 = 0
b) x^2 + 4x + 7 = 0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
a)

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 .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So solution is

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b)

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

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)

Break up the fraction.

Reduce.

or Break up the expression.

So the answers are or where

Note: the solutions are in the form or where and
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