Clearing the LCD

# Clearing the LCD - → = 4x 6 x2 3x At this point we need...

This preview shows pages 1–2. Sign up to view the full content.

+ + = 1x 1x 3 12 We don’t like fractions, so let’s clear the fractions. To do that, we need to multiply by the LCD. The LCD is going to be (x)(x+3)(2). We use each denominator since no denominator was the exact same. We multiply each fraction by that amount. This is called clearing the fractions. * + * * x x 3 2 + * + * * + = * + * * 1x x x 3 2 1x 3 x x 3 2 12 x * + * * x 3 2 1 + x * x + x 3 * * 2 1 + = x 3 * + * x x 3 * 2 12 + * * x 3 2 + * * 1 x 2 = * + * 1 x x 3 1 Since these are all 1 on the top and we are multiplying, we can drop them. + * + * = x 3 2 x 2 + xx 3 * + * + = x 2 3 2 2x * + * x x x 3 + + = + 2x 6 2x x2 3x At this point, we are going to combine the 2x and 2x on the left side.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: → + = + 4x 6 x2 3x At this point, we need to move everything over with the x² by subtracting 4x and 6. → + 4x 6-- = +--4x 6 x2 3x 4x 6 Combine the 3x – 4x to get -1x =-- 0 x2 1x 6 Now factor this: = - ( + ) 0 x 3 x 2 Now solve for each- = + = : = = -x 3 0 or x 2 0 thus x 3 or x 2 At this point, you could check the answers if you wanted by plugging back into the original equation: + + = 1x 1x 3 12 first try it with x = 3 and then with x = -2. Both answers should check. If one answer gives a 0 in the denominator, we have to throw that answer out. In this example, both answers check....
View Full Document

## This note was uploaded on 08/17/2011 for the course MAT117 MAT 117 taught by Professor Ranjitrebello during the Spring '09 term at University of Phoenix.

### Page1 / 2

Clearing the LCD - → = 4x 6 x2 3x At this point we need...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online