SOLUTION: Solve using the quadratic formula: 1) x^2-2x=15x-10 2) x^2-3x-3=5 Thank you for the help ;)

Question 179509: Solve using the quadratic formula:
1) x^2-2x=15x-10

2) x^2-3x-3=5

Thank you for the help ;)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 1

Start with the given equation.

Get all terms to the left side.

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

# 2

Start with the given equation.

Subtract 5 from 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

Rewrite as

Add to to get

Multiply and to get .

or Break up the expression.

So the answers are or

which approximate to or

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