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Solving Quadratic Equations Using Square Roots

Learn to find solutions to quadratic equations using square roots. Understand the process to isolate x2, apply square roots, and solve for x. Practice with various equations and verify answers. Suitable for students studying algebra.

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Solving Quadratic Equations Using Square Roots

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  1. Homework Answers • x = 3 & -4 • x = 6 & -5 • x = -1 & -7 • x = 1 & 9 • x = 6 & -2 • x = -8 • x = -10 & 10 • x = -3 & -5 • x = 2 & 10 • x = -8 & -4 • x = -4 & 4 • x = -8 & 7 • x = 8 & -3 • x = 4 • x = 4 • x = -6 & -8 • x = 8 & -3 • x = 10 & -5 • x = 12 & -2 • x = -7 & 2

  2. Use Square Roots to Solve Quadratic Equations TUESDAY, APRIL 3, 2012 OBJECTIVE: I CAN FIND SOLUTIONS TO QUADRATIC EQAUATIONS BY USING SQUARE ROOTS.

  3. Use Square Roots to Solve Quadratics • If there is not an x term, we can use square roots to find the zeros. • Goal: get x2 alone on one side of the equation. Then you’ll be able square root each side to find x. • When you take the square root of a number, your solution will have a positive version and a negative version. We can abbreviate this with the sign: ± 2x2 = 8 x2 = 4 x = ± √4 x = ± 2 (check your answer by putting the answers into the original equation)

  4. Use Square Roots to Solve Quadratics x2 – 18 = -9

  5. Use Square Roots to Solve Quadratics x2 + 12 = 5

  6. Use Square Roots to Solve Quadratics x2 = 9

  7. Use Square Roots to Solve Quadratics x2 – 35 = 1

  8. Use Square Roots to Solve Quadratics 3x2 – 11 = 7

  9. Use Square Roots to Solve Quadratics 6(x – 4)2 = 42

  10. Use Square Roots to Solve Quadratics 3(x + 5)2 = 24

  11. Homework WORKSHEET

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