11.8 Rational Equations & Functions

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11.8 Rational Equations & Functions Algebra 11.8 Rational Equations & Functions

Solve. Let’s try together. 5 y 1) = y + 2 3 5(3) = y(y + 2) 15 = y2 + 2y -15 -15 0 = y2 + 2y – 15 0 = (y + 5)(y – 3) y = -5, 3

Solve. You try! 4 x 12 4 2) = 3) = x - 4 3 5(x + 2) x 5x + 10 -12 -12 -20x -20x 0 = x2 – 4x – 12 -8x = 40 0 = (x + 2)(x – 6) x = -5 x = -2, 6

One From the HW to get the concept before we try a more difficult one Steps 1) Find the LCD 2) Multiply ALL terms by the LCD 3) Cancel 4) Distribute and solve

Solve. Let’s try together. Clear the fraction by multiplying each term by the LCD!! Factor to help find the LCD!!! 3 1 4) + 1 = - x – 7 x2 – 9x + 14 (x – 7)(x – 2) The LCD is (x – 7)(x – 2)! 3 1 (x – 7)(x – 2) (x – 7)(x – 2) + 1 = - (x – 7)(x – 2) x – 7 (x – 7)(x – 2) 3x – 6 + x2 – 9x + 14 = -1 x2 – 6x + 8 = -1 +1 +1 x2 – 6x + 9 = 0 (x – 3)2 = 0 x = 3

Solve on your own! 7 1 2 5) – = 3x – 12 x - 4 3 3(x – 4) 7 1 2 – = The LCD is 3(x – 4)! 5) – = 3x – 12 x - 4 3 3(x – 4) 3(x – 4) 7 1 2 3(x – 4) 3(x – 4) – = 3(x – 4) x - 4 3 7 - 3 = 2x – 8 4 = 2x – 8 +8 +8 12 = 2x x = 6

HW P. 694 15-37 Odd