Solve 4x^22x=1 - ScanMath

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Type your math problem... 4x^22x=1

Question

Solve the equation

x = \frac{1}{2}

Alternative Form

x = 0.5

Evaluate

4 x^{2} \times 2 x = 1

Multiply

More Steps

Evaluate

4 x^{2} \times 2 x

Multiply the terms

8 x^{2} \times x

Multiply the terms with the same base by adding their exponents

8 x^{2 + 1}

Add the numbers

8 x^{3}

8 x^{3} = 1

Divide both sides

\frac{8 x ^{3}}{8} = \frac{1}{8}

Divide the numbers

x^{3} = \frac{1}{8}

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 \frac{1}{8}

Calculate

x = 3 \frac{1}{8}

Solution

More Steps

Evaluate

3 \frac{1}{8}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 1}{3 8}

Simplify the radical expression

\frac{1}{3 8}

Simplify the radical expression

More Steps

Evaluate

38

Write the number in exponential form with the base of 2

3 2^{3}

Reduce the index of the radical and exponent with 3

2

\frac{1}{2}

x = \frac{1}{2}

Alternative Form

x = 0.5

Show Solution

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