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P4.1: Solving Quadratics by Square Roots

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Last updated almost 4 years ago
14 questions
Note from the author:
If you get stuck, try watching this Khan video.

For all problems:

Use x={#, #} format. The only space should be after the comma. List the smaller number first. Simplify radicals and fractions. Do not use decimals.
If you get stuck, try watching this Khan video.

For all problems:

Use x={#, #} format. The only space should be after the comma. List the smaller number first. Simplify radicals and fractions. Do not use decimals.
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Question 1
1.

Use x={#, #} format. The only space should be after the comma. List the negative number first.

1
Question 2
2.

Use x={#, #} format. The only space should be after the comma. List the negative number first.

1
Question 3
3.

Use x={#, #} format. The only space should be after the comma. List the negative number first.

1
Question 4
4.

Use x={#, #} format. The only space should be after the comma. List the negative number first. Simplify any radicals.

1
Question 5
5.

Use x={#, #} format. The only space should be after the comma. List the negative number first. Simplify any radicals.

1
Question 6
6.

Use x={#, #} format. The only space should be after the comma. List the negative number first. Simplify any radicals.

1
Question 7
7.

Use x={#, #} format. The only space should be after the comma. List the negative number first. Simplify any radicals.

Question 8
8.

Solve (x-4)2 = 1 by square roots.

Use x={#, #} format. The only space should be after the comma. List the negative number first. Simplify any radicals.

Question 9
9.

Solve 4(x+1)2 = 36 by square roots.

Use x={#, #} format. The only space should be after the comma. List the negative number first. Simplify any radicals.

Question 10
10.

Solve (x-2)2 - 9 = 40 by square roots.

Use x={#, #} format. The only space should be after the comma. List the negative number first. Simplify any radicals.

Question 11
11.

Solve 36(x-1)2 = 9 by square roots.

Use x={#, #} format. The only space should be after the comma. List the negative number first. Simplify any radicals. Use fractions, not decimals.

Question 12
12.

Solve 3(x+\frac{5}{3})^{2} = \frac{1}{3} by square roots.

Use x={#, #} format. The only space should be after the comma. List the negative number first. Simplify any radicals. Use fractions, not decimals.

Question 13
13.

Solve \frac{1}{10}(x+8)2 +1 = 9 by square roots.

Use x={#, #} format. The only space should be after the comma. List the negative number first. Simplify any radicals.

Question 14
14.

Solve (x-5)2 + 1 = 48

Use x={#, #} format. The only space should be after the comma. List the negative number first. Simplify any radicals.