Solve 4u^24u-1=0 - ScanMath

Question

Solve the equation

u = \frac{3 4}{4}

Alternative Form

u \approx 0.39685

Evaluate

4 u^{2} \times 4 u - 1 = 0

Multiply

More Steps

Evaluate

4 u^{2} \times 4 u

Multiply the terms

16 u^{2} \times u

Multiply the terms with the same base by adding their exponents

16 u^{2 + 1}

Add the numbers

16 u^{3}

16 u^{3} - 1 = 0

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

16 u^{3} = 0 + 1

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

16 u^{3} = 1

Divide both sides

\frac{16 u ^{3}}{16} = \frac{1}{16}

Divide the numbers

u^{3} = \frac{1}{16}

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

3 u^{3} = 3 \frac{1}{16}

Calculate

u = 3 \frac{1}{16}

Solution

More Steps

Evaluate

3 \frac{1}{16}

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

\frac{3 1}{3 16}

Simplify the radical expression

\frac{1}{3 16}

Simplify the radical expression

More Steps

Evaluate

316

Write the expression as a product where the root of one of the factors can be evaluated

3 8 \times 2

Write the number in exponential form with the base of 2

3 2^{3} \times 2

The root of a product is equal to the product of the roots of each factor

3 2^{3} \times 32

Reduce the index of the radical and exponent with 3

232

\frac{1}{2 3 2}

Multiply by the Conjugate

\frac{3 2 ^{2}}{2 3 2 \times 3 2 ^{2}}

Simplify

\frac{3 4}{2 3 2 \times 3 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

232 \times 3 2^{2}

Multiply the terms

2 \times 2

Multiply the numbers

4

\frac{3 4}{4}

u = \frac{3 4}{4}

Alternative Form

u \approx 0.39685

Show Solution