SOLUTION: Please help me solve a few of my homework problems from my CNM professor; 1. 3x^2-5x-12=0 2. x^2+x=2 3. x^2-12=x 4. x^2-6x+1 5. 2x^2-11x-21=0 Thank you greatly

Question 191876: Please help me solve a few of my homework problems from my CNM professor;
1. 3x^2-5x-12=0
2. x^2+x=2
3. x^2-12=x
4. x^2-6x+1
5. 2x^2-11x-21=0
Thank you greatly for any help. It is appreciated:)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do the first three to get you going...

# 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 .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the answers are or

# 2

Start with the given equation.

Subtract 2 from both sides.

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

Rewrite as

Add to 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 the answers are or

# 3

Start with the given equation.

Subtract "x" from both sides.

Rearrange the 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 .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the answers are or
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