Solve 3(x^2)^2=48 - ScanMath

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Type your math problem... 3(x^2)^2=48

x

Question

Solve the equation

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

Evaluate

3 (x^{2})^{2} = 48

Simplify

More Steps

Evaluate

3 (x^{2})^{2}

Multiply the exponents

3 x^{2 \times 2}

Multiply the numbers

3 x^{4}

3 x^{4} = 48

Divide both sides

\frac{3 x ^{4}}{3} = \frac{48}{3}

Divide the numbers

x^{4} = \frac{48}{3}

Divide the numbers

More Steps

Evaluate

\frac{48}{3}

Reduce the numbers

\frac{16}{1}

Calculate

16

x^{4} = 16

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

x = \pm 416

Simplify the expression

More Steps

Evaluate

416

Write the number in exponential form with the base of 2

4 2^{4}

Reduce the index of the radical and exponent with 4

2

x = \pm 2

Separate the equation into 2 possible cases

x = 2 x = - 2

Solution

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

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