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Laabri

3.6 Solving Quadratic Equations without factoring (Due 12/5/24)

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18 Nsɛmmisa

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Essential Question: What are other methods of solving quadratic functions besides factoring?

Learning Target: Students will be able to solve quadratic equations that model real-world situations.

Show your work for credit.

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1.

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2.

Review: All square roots of real, positive numbers have two solutions.

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3.

Does this square root have a real answer? (Hint is there a number times itself that equals -81)

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4.

Explain why all square roots have two answers.

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5.

Review: Match each number on the left with its simplified form on the right.

  • 4

  • -4

  • 5

  • -5

  • 6

  • -6

  • 8

  • -8

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7.

Below is an example how to solve an quadratic equation by taking a square root. Fill the blanks to complete the problem.

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8.

Solve this quadratic equation by taking the square root.

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9.

Solve this quadratic equation by taking the square root.

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10.

Solve this quadratic equation by taking the square root.

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11.

Below is an example how to solve an quadratic equation by taking a square root. Fill the blanks to complete the problem. Use desmos to solve the radical at the end of the problem.

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12.

Solve this quadratic equation by taking the square root.

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13.

Solve this quadratic equation by taking the square root.

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14.

Solve this quadratic equation by taking the square root.

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15.

Solve this quadratic equation by taking the square root.

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