The following question is in the Manhattan GMAT Quant book. I'm struggling as to why my method is not correct.
Solve for X: X(X-(5x+6)/(x)) = 0
I figured I'd work from inside the parentheses and get give variable X, a common exponent X so that I could subtract it from the fraction 5X+6/x.
Inside the parentheses I then have x^2/x - ((5x+6)/x)
I then multiply the expression by the x on the outside of the parentheses which then gives me a quadratic equation of X^2 - 5X + 6 = 0 with solutions X = 2 and 3.
When I test the answers, the equation does not work. According to the book, the answer is 6 and -1. The difference being that the X outside the parentheses multiplies everything inside the parentheses as the first step.
Very frustrated. Please help.
Solve for X: X(X-(5x+6)/(x)) = 0
I figured I'd work from inside the parentheses and get give variable X, a common exponent X so that I could subtract it from the fraction 5X+6/x.
Inside the parentheses I then have x^2/x - ((5x+6)/x)
I then multiply the expression by the x on the outside of the parentheses which then gives me a quadratic equation of X^2 - 5X + 6 = 0 with solutions X = 2 and 3.
When I test the answers, the equation does not work. According to the book, the answer is 6 and -1. The difference being that the X outside the parentheses multiplies everything inside the parentheses as the first step.
Very frustrated. Please help.
