Step: 1

10q ^{2} - 35 = 15

[Original equation.]

Step: 2

10q ^{2} = 50

[Add 35 to each side.]

Step: 3

[Divide each side by 10.]

Step: 4

[Evaluate square root on both sides.]

Step: 5

[Round to the nearest hundredth.]

Correct Answer is : ±2.24

Step: 1

2x ^{2} - 3 = 159

[Original equation.]

Step: 2

2x ^{2} - 3 + 3 = 159 + 3

[Add 3 to both sides.]

Step: 3

2x ^{2} = 162

[Simplify each side.]

Step: 4

[Divide each side by 2.]

Step: 5

[Find the square roots.]

Step: 6

[Since 9^{2} = 81 and (-9)^{2} = 81.]

Step: 7

The value of x , if 2x ^{2} - 3 = 159, is ± 9.

Correct Answer is : ± 9

Step: 1

- 7x ^{2} = - 35

[Original equation.]

Step: 2

- 7x ^{2} × - 1 = - 35 × - 1

[Multiply each side by - 1.]

Step: 3

7x ^{2} = 35

[Simplify.]

Step: 4

[Divide each side by 7.]

Step: 5

[Find the square roots.]

Step: 6

The value of x is ± 5 .

Correct Answer is : ± 5

Step: 1

4x ^{2} - 32 = 32

[Original equation.]

Step: 2

4x ^{2} - 32 + 32 = 32 + 32

[Add 32 to both sides.]

Step: 3

4x ^{2} = 64

[Simplify.]

Step: 4

[Divide by 4 on both sides.]

Step: 5

[Find the square roots.]

Correct Answer is : ± 4

Step: 1

A = 3.14r ^{2}

[Original equation.]

Step: 2

530.66 = 3.14r ^{2}

[Substitute the values.]

Step: 3

[Divide each side by 3.14]

Step: 4

169 = r ^{2}

[Simplify.]

Step: 5

[Apply square root to both sides.]

Step: 6

[Evaluate the square root on each side.]

Step: 7

[Radius is always a positive value.]

Step: 8

So, the radius of the pizza is 13 inches.

Correct Answer is : 13

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