Solve u^4002-1 - ScanMath

Question

Simplify the expression

2 u^{4} - 1

Evaluate

u^{4} \times 2 - 1

Solution

2 u^{4} - 1

Show Solution

u_{1} = - \frac{4 8}{2}, u_{2} = \frac{4 8}{2}

Alternative Form

u_{1} \approx - 0.840896, u_{2} \approx 0.840896

Evaluate

u^{4} \times 2 - 1

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

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

Use the commutative property to reorder the terms

2 u^{4} - 1 = 0

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

2 u^{4} = 0 + 1

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

2 u^{4} = 1

Divide both sides

\frac{2 u ^{4}}{2} = \frac{1}{2}

Divide the numbers

u^{4} = \frac{1}{2}

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

u = \pm 4 \frac{1}{2}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{2}

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

\frac{4 1}{4 2}

Simplify the radical expression

\frac{1}{4 2}

Multiply by the Conjugate

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

Simplify

\frac{4 8}{4 2 \times 4 2 ^{3}}

Multiply the numbers

More Steps

Evaluate

42 \times 4 2^{3}

The product of roots with the same index is equal to the root of the product

4 2 \times 2^{3}

Calculate the product

4 2^{4}

Reduce the index of the radical and exponent with 4

2

\frac{4 8}{2}

u = \pm \frac{4 8}{2}

Separate the equation into 2 possible cases

u = \frac{4 8}{2} u = - \frac{4 8}{2}

Solution

u_{1} = - \frac{4 8}{2}, u_{2} = \frac{4 8}{2}

Alternative Form

u_{1} \approx - 0.840896, u_{2} \approx 0.840896

Show Solution