Solve x^2+4 - ScanMath

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Type your math problem... x^2+4

Question

Find the roots

x_{1} = - 2 i, x_{2} = 2 i

Evaluate

x^{2} + 4

To find the roots of the expression,set the expression equal to 0

x^{2} + 4 = 0

Move the constant to the right-hand side and change its sign

x^{2} = 0 - 4

Removing 0 doesn't change the value,so remove it from the expression

x^{2} = - 4

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm - 4

Simplify the expression

More Steps

Evaluate

- 4

Evaluate the power

4 \times - 1

Evaluate the power

4 \times i

Evaluate the square root

More Steps

Evaluate

4

Write the number in exponential form with the base of 2

2^{2}

Reduce the index of the radical and exponent with 2

2

2 i

x = \pm 2 i

Separate the equation into 2 possible cases

x = 2 i x = - 2 i

Solution

x_{1} = - 2 i, x_{2} = 2 i

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