Solve u^410-9 - ScanMath

Question

Simplify the expression

10 u^{4} - 9

Evaluate

u^{4} \times 10 - 9

Solution

10 u^{4} - 9

Show Solution

u_{1} = - \frac{4 9000}{10}, u_{2} = \frac{4 9000}{10}

Alternative Form

u_{1} \approx - 0.974004, u_{2} \approx 0.974004

Evaluate

u^{4} \times 10 - 9

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

u^{4} \times 10 - 9 = 0

Use the commutative property to reorder the terms

10 u^{4} - 9 = 0

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

10 u^{4} = 0 + 9

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

10 u^{4} = 9

Divide both sides

\frac{10 u ^{4}}{10} = \frac{9}{10}

Divide the numbers

u^{4} = \frac{9}{10}

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

u = \pm 4 \frac{9}{10}

Simplify the expression

More Steps

Evaluate

4 \frac{9}{10}

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

\frac{4 9}{4 10}

Simplify the radical expression

More Steps

Evaluate

49

Write the number in exponential form with the base of 3

4 3^{2}

Reduce the index of the radical and exponent with 2

3

\frac{3}{4 10}

Multiply by the Conjugate

\frac{3 \times 4 1 0 ^{3}}{4 10 \times 4 1 0 ^{3}}

Simplify

\frac{3 \times 4 1000}{4 10 \times 4 1 0 ^{3}}

Multiply the numbers

More Steps

Evaluate

3 \times 41000

Use n a = mn a^{m} to expand the expression

4 3^{2} \times 41000

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

4 3^{2} \times 1000

Calculate the product

49000

\frac{4 9000}{4 10 \times 4 1 0 ^{3}}

Multiply the numbers

More Steps

Evaluate

410 \times 4 1 0^{3}

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

4 10 \times 1 0^{3}

Calculate the product

4 1 0^{4}

Reduce the index of the radical and exponent with 4

10

\frac{4 9000}{10}

u = \pm \frac{4 9000}{10}

Separate the equation into 2 possible cases

u = \frac{4 9000}{10} u = - \frac{4 9000}{10}

Solution

u_{1} = - \frac{4 9000}{10}, u_{2} = \frac{4 9000}{10}

Alternative Form

u_{1} \approx - 0.974004, u_{2} \approx 0.974004

Show Solution