Chapter 9: Q60. (page 478)

Solve the equation $18 u^{2} - 3 u = 1$ by factoring.

Short Answer

Expert verified

The solution for the equation is $u = \{- \frac{1}{6}, \frac{1}{3}\}$ .

Step by step solution

Step 1. Write down the given expression.

The given equation is $18 u^{2} - 3 u = 1$ .

Step 2. Simplify the equation.

The given equation $18 u^{2} - 3 u = 1$ is solved as:

$\begin{matrix} 18 u^{2} - 3 u = 1.... (Given) \\ 18 u^{2} - 3 u - 1 = 0.... (Re-arrange) \\ 18 u^{2} - 6 u + 3 u - 1 = 0 \\ 6 u (3 u - 1) + 1 (3 u - 1) = 0.... (Factoring) \\ (6 u + 1) (3 u - 1) = 0 \\ 6 u + 1 = 0 or 3 u - 1 = 0 \\ u = - \frac{1}{6} or u = \frac{1}{3} \\ u = \{- \frac{1}{6}, \frac{1}{3}\} \end{matrix}$

Step 3. Conclusion.

The solution for the given equation is $u = \{- \frac{1}{6}, \frac{1}{3}\}$ .

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Solve the equation $18 u^{2} - 3 u = 1$ by factoring.

Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Simplify the equation.

Step 3. Conclusion.

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Solve the equation 18u2-3u=1 by factoring.

Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Simplify the equation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Pure Maths

Calculus

Theoretical and Mathematical Physics

Applied Mathematics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Solve the equation $18 u^{2} - 3 u = 1$ by factoring.