SOLUTION: 1 Solve by completing the square X^2 + 10x +13 = 0 2. Solve using the quadratic formula X^2 - 2x = 5x-2 3. Solve using quadratic formula x^2 - 3x

SOLUTION: 1 Solve by completing the square X^2 + 10x +13 = 0 2. Solve using the quadratic formula X^2 - 2x = 5x-2 3. Solve using quadratic formula x^2 - 3x - 3 = -5

Question 157979: 1 Solve by completing the square
X^2 + 10x +13 = 0
2. Solve using the quadratic formula
X^2 - 2x = 5x-2
3. Solve using quadratic formula
x^2 - 3x - 3 = -5
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do the first two to get you started

# 1

Start with the given expression.

Take half of the coefficient to get . In other words, .

Now square to get . In other words,

Now add and subtract . Make sure to place this after the "x" term. Notice how . So the expression is not changed.

Group the first three terms.

Factor to get .

Combine like terms.

So after completing the square, transforms to . So .

So is equivalent to .

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

Start with the given equation.

Add to both sides.

Combine like terms.

Take the square root of both sides.

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

or Simplify the square root.

or Subtract from both sides.

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

Answer:

So the solutions are or .

# 2

Start with the given equation.

Subtract from both sides. Add 2 to both sides.

Combine like terms.

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 .

or Break up the expression.

So the answers are or

which approximate to or

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