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CHAPTER 11: RATIONAL EQUATIONS AND APPLICATIONS …

CHAPTER 11: RATIONAL EQUATIONS AND APPLICATIONS …

www.sccollege.edu

Steps for solving rational equations with the same denominator Step 1. Determine the excluded values of the equation. Step 2. Clear denominators . by multiplying each term by the lowest common denominator. Step 3. Solve the equation. Step 4. Verify that the solutions obtained are not an excluded value.

  Solving, Equations, Rational, Solving rational equations, Rational equations

SOLVING RATIONAL EQUATIONS EXAMPLES

SOLVING RATIONAL EQUATIONS EXAMPLES

www.beaconlearningcenter.com

1. Recall that you can solve equations containing fractions by using the least common denominator of all the fractions in the equation. Multiplying each side of the equation by the common denominator eliminates the fractions. This method can also be used with rational equations. Rational equations are equations containing rational expressions. 2.

  Solving, Equations, Rational, Solving rational equations, Rational equations

Solving Rational Equations - cdn.kutasoftware.com

Solving Rational Equations - cdn.kutasoftware.com

cdn.kutasoftware.com

Solving Rational Equations Date_____ Period____ Solve each equation. Remember to check for extraneous solutions. 1) 1 6 k2 = 1 3k2 − 1 k 2) 1 n2 + 1 n = 1 2n2 3) 1 6b2 + 1 6b = 1 b2 4) b + 6 4b2 + 3 2b2 = b + 4 2b2 5) 1 x = 6 5x + 1 6) 1 6x2 = 1 2x + 7 6x2 7) 1 v + 3v + 12 v2 − 5v = 7v − 56 v2 − 5v 8) 1 m2 − m + 1 m = 5 m2 − m 9) 1 ...

  Solving, Equations, Rational, Solving rational equations

Solving Rational Equations - Los Angeles Valley College

Solving Rational Equations - Los Angeles Valley College

www.lavc.edu

Solving Rational Equations Solve each equation. Remember to check for extraneous solutions. 1) a + 1 5a − 1 a = 1 2) 6v − 6 v2 + 2 v2 = 1 v2 3) 1 n2 + 4 n = 3 n2 4) 4 x + 1 x2 = 1 5x2 5) 1 k2 = 1 3k2 + k + 5 3k2 6) x − 5 x2 + 1 x = 6 x 7) 6 k − 1 k2 + 6k = 1 k 8) 4 n + 1 + 1 n2 − 5n − 6 = 1 n − 6 9) 1 x + 5 − 1 x2 + 5x = 4 x2 ...

  College, Solving, Equations, Angeles, Valley, Rational, Solving rational equations, Los angeles valley college

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