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To add fractions, you need a common denominator.

Remember!. To add fractions, you need a common denominator. Example 1A: Using the Quadratic Formula. Solve using the Quadratic Formula. 6 x 2 + 5 x – 4 = 0. 6 x 2 + 5 x + (–4) = 0. Identify a, b, and c. Use the Quadratic Formula. Substitute 6 for a, 5 for b, and –4 for c. Simplify.

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To add fractions, you need a common denominator.

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  1. Remember! To add fractions, you need a common denominator.

  2. Example 1A: Using the Quadratic Formula Solve using the Quadratic Formula. 6x2 + 5x – 4 = 0 6x2 + 5x + (–4) = 0 Identify a, b, and c. Use the Quadratic Formula. Substitute 6 for a, 5 for b, and –4 for c. Simplify.

  3. Solve using the Quadratic Formula. 6x2 + 5x – 4 = 0 Write as two equations. Solve each equation.

  4. Example 1B: Using the Quadratic Formula x2 = x + 20 Write in standard form. Identify a, b, and c. 1x2 + (–1x) + (–20) = 0 Use the quadratic formula. Substitute 1 for a, –1 for b, and –20 for c. Simplify.

  5. Example 1B Continued x2 = x + 20 Simplify. Write as two equations. Solve each equation. x = 5 or x = –4

  6. Solve x2 – 9x + 20 = 0. Show your work. 1x2 – 9x + 20 = 0 x = 5 or x = 4

  7. Check It Out! Example 5a Solve. Show your work. x2 + 7x + 10 = 0 Method 1 Solve by graphing. y = x2 + 7x + 10 Write the related quadratic function and graph it. The solutions are the x-intercepts, –2 and –5.

  8. Check It Out! Example 5a Continued Solve. Show your work. x2 + 7x + 10 = 0 Method 2 Solve by factoring. x2 + 7x + 10 = 0 Factor. (x + 5)(x + 2) = 0 Use the Zero Product Property. x + 5 = 0 or x + 2 = 0 x = –5 or x = –2 Solve each equation.

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