Step: 1

Step: 2

[Subtracting 64 from the two sides of the equation.]

Step: 3

[Find the square root of both sides.]

Step: 4

[i ^{2} = - 1.]

Step: 5

Step: 6

The values of x that satisfy the given equation are 8i and - 8i .

Correct Answer is : ± 8i

Step: 1

13x ^{2} + 16 = 0

Step: 2

13x ^{2} = - 16

[Subtracting 1 from the two sides of the equation.]

Step: 3

[Divide throughout by 2.]

Step: 4

[Find the square root of both sides.]

Step: 5

[i ^{2} = - 1.]

Step: 6

Step: 7

Correct Answer is : ±(4 1 3 ) i

Step: 1

Step: 2

[Subtracting 4 from the two sides of the equation.]

Step: 3

[Find the square root of both sides.]

Step: 4

[i ^{2} = - 1.]

Step: 5

Step: 6

The values of x satisfying the given equation are i 6 8 and - i 6 8 .

Correct Answer is : ± i 6 8

Step: 1

6x ^{2} + 1 = x ^{2} - 4

Step: 2

6x ^{2} - x ^{2} = - 4 - 1

[Group the like terms and simplify.]

Step: 3

5x ^{2} = - 5

[Simplify.]

Step: 4

[Divide by 5 on both sides.]

Step: 5

[Find the square root of both sides.]

Step: 6

[i ^{2} = - 1.]

Step: 7

Step: 8

The values of x that satisfy the given equation are i and - i .

Correct Answer is : ± i

Step: 1

Step: 2

[Subtracting 25 from the two sides of the equation.]

Step: 3

[Find the square root of both sides.]

Step: 4

[i ^{2} = - 1.]

Step: 5

Step: 6

The values of x satisfying the given equation are i 2 9 and - i 2 9 .

Correct Answer is : ± i 2 9

Step: 1

5x ^{2} + 1 = x ^{2} - 3

Step: 2

5x ^{2} - x ^{2} = - 3 - 1

[Group the like terms and simplify.]

Step: 3

4x ^{2} = - 4

[Simplify.]

Step: 4

[Divide by 4 on both sides.]

Step: 5

[Find the square root of both sides.]

Step: 6

[i ^{2} = - 1.]

Step: 7

Step: 8

The values of x that satisfy the given equation are i and - i .

Correct Answer is : ± i

Step: 1

[Original equation.]

Step: 2

[Find the square root of both sides.]

Step: 3

[i ^{2} = - 1.]

Step: 4

Step: 5

The values of x satisfying the given equation are 4i and - 4i

Correct Answer is : ± 4i

Step: 1

Step: 2

[Subtracting 40 from the two sides of the equation.]

Step: 3

[Find the square root of both sides.]

Step: 4

[i ^{2} = - 1.]

Step: 5

Step: 6

Step: 7

The values of x satisfying the given equation are 7i and - 7i .

Correct Answer is : ± 7i

Step: 1

Step: 2

[Subtracting 96 from the two sides of the equation.]

Step: 3

[Find the square root of both sides.]

Step: 4

[i ^{2} = - 1.]

Step: 5

Step: 6

The values of x that satisfy the given equation are 7i and - 7i .

Correct Answer is : ± 7i

Step: 1

4x ^{2}= - 4

Step: 2

[Divide by 4 on both sides.]

Step: 3

[Find the square root of both sides.]

Step: 4

[i ^{2} = - 1.]

Step: 5

Step: 6

The values of x that satisfy the given equation are i and - i .

Correct Answer is : ± i

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