SOLUTION: Please help solve the following equation: 600 = 0.9x^

SOLUTION: Please help solve the following equation: 600 = 0.9x^ - 26.5x + 290 Thanks.

Question 188334: Please help solve the following equation:
600 = 0.9x^ - 26.5x + 290
Thanks.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'm assuming that the equation should be

Start with the given equation.

Multiply EVERY term by 10 to make every number a whole number

Subtract 6000 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 .

Simplify the square root

or Break up the expression.

So the answers are or

which approximate to or