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Laabri

Completing The Square #2M

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Last updated almost 5 years ago
20 Nsɛmmisa

Solving Quadratic Equations by Completing the Square

Objectives:

  • Solve for roots by completing the square.

  • Identify the vertex point when completing the square.

  • Solve Regents questions using this method

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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

What are the roots in the equation below?

Solve the equation by completing the square.

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2.

What are the roots in the equation below?

Solve the equation by completing the square.

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3.

What are the roots in the equation below?

Solve the equation by completing the square.

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4.

What are the roots in the equation below?

Solve the equation by completing the square.

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5.

What are the roots of the quadratic equation below?

Find the roots by completing the square. Round your answers to the nearest tenth.

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6.

What are the roots in the equation below?

Solve the equation by completing the square.

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7.

What are the roots in the equation below?

Solve the equation by completing the square.

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8.

What are the roots of the quadratic equation below?

Find the roots by completing the square. Round your answers to the nearest tenth.

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9.

Which equation has the same solution as x2 + 6x - 7 = 0

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10.

What are the solutions to the equation 3(x - 4)2 = 27

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11.

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12.

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13.

If Lylah completes the square for f(x) = x2 - 12x + 7 in order to find the minimum, she must write f(x) in the general form f(x) = (x - a)2 + b. What is the value of a for f(x) ?

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14.

Which equation and ordered pair represents the correct vertex form and vertex for j(x) = x2 - 12x + 7 ?

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15.

Which equation is equivalent to y = x2 + 24x - 18 ?

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16.

Please upload your work if you didn't use the space provided.

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17.

Please upload your work if you didn't use the space provided.

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18.

Please upload your work if you didn't use the space provided.

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19.

Please upload your work if you didn't use the space provided.

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20.

Please upload your work if you didn't use the space provided.