Solving Quadratics by Completing the Square (Algebra 1)
Free printable Algebra 1 algebra worksheet solving quadratic equations by completing the square, including equations with irrational roots that cannot be reached by factoring.
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Algebra 1 · Math worksheet
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Algebra 1: Solving Quadratics by Completing the Square
Solve each quadratic equation by completing the square. Give exact answers, simplifying any radical (do not round).
- 1.Solve by completing the square: x² - 2x - 9 = 0. Give exact answers, using a radical if needed.
- 2.Solve by completing the square: x² - 4x + 3 = 0. Give exact answers, using a radical if needed.
- 3.Solve by completing the square: x² - 10x + 10 = 0. Give exact answers, using a radical if needed.
- 4.Solve by completing the square: x² - 12x + 20 = 0. Give exact answers, using a radical if needed.
- 5.Solve by completing the square: x² + 8x + 12 = 0. Give exact answers, using a radical if needed.
- 6.Solve by completing the square: x² - 12x - 316 = 0. Give exact answers, using a radical if needed.
- 7.Solve by completing the square: x² - 12x + 35 = 0. Give exact answers, using a radical if needed.
- 8.Solve by completing the square: x² + 2x - 197 = 0. Give exact answers, using a radical if needed.
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