Solve 537:3+(256-134)*x^457(24-35)

Question

Simplify the expression

179 - 76494 x^{4}

Evaluate

537 \div 3 + (256 - 134) x^{4} \times 57 (24 - 35)

Subtract the numbers

537 \div 3 + 122 x^{4} \times 57 (24 - 35)

Subtract the numbers

537 \div 3 + 122 x^{4} \times 57 (- 11)

Divide the numbers

179 + 122 x^{4} \times 57 (- 11)

Solution

More Steps

Multiply the terms

122 x^{4} \times 57 (- 11)

Rewrite the expression

- 122 x^{4} \times 57 \times 11

Multiply the terms

More Steps

Evaluate

122 \times 57 \times 11

Multiply the terms

6954 \times 11

Multiply the numbers

76494

- 76494 x^{4}

179 - 76494 x^{4}

Show Solution

Find the roots

x_{1} = - \frac{4 179 \times 7649 4 ^{3}}{76494}, x_{2} = \frac{4 179 \times 7649 4 ^{3}}{76494}

Alternative Form

x_{1} \approx - 0.219941, x_{2} \approx 0.219941

Evaluate

537 \div 3 + (256 - 134) x^{4} \times 57 (24 - 35)

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

537 \div 3 + (256 - 134) x^{4} \times 57 (24 - 35) = 0

Subtract the numbers

537 \div 3 + 122 x^{4} \times 57 (24 - 35) = 0

Subtract the numbers

537 \div 3 + 122 x^{4} \times 57 (- 11) = 0

Divide the numbers

179 + 122 x^{4} \times 57 (- 11) = 0

Multiply

More Steps

Multiply the terms

122 x^{4} \times 57 (- 11)

Rewrite the expression

- 122 x^{4} \times 57 \times 11

Multiply the terms

More Steps

Evaluate

122 \times 57 \times 11

Multiply the terms

6954 \times 11

Multiply the numbers

76494

- 76494 x^{4}

179 - 76494 x^{4} = 0

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

- 76494 x^{4} = 0 - 179

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

- 76494 x^{4} = - 179

Change the signs on both sides of the equation

76494 x^{4} = 179

Divide both sides

\frac{76494 x ^{4}}{76494} = \frac{179}{76494}

Divide the numbers

x^{4} = \frac{179}{76494}

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

x = \pm 4 \frac{179}{76494}

Simplify the expression

More Steps

Evaluate

4 \frac{179}{76494}

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

\frac{4 179}{4 76494}

Multiply by the Conjugate

\frac{4 179 \times 4 7649 4 ^{3}}{4 76494 \times 4 7649 4 ^{3}}

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

\frac{4 179 \times 7649 4 ^{3}}{4 76494 \times 4 7649 4 ^{3}}

Multiply the numbers

More Steps

Evaluate

476494 \times 4 7649 4^{3}

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

4 76494 \times 7649 4^{3}

Calculate the product

4 7649 4^{4}

Reduce the index of the radical and exponent with 4

76494

\frac{4 179 \times 7649 4 ^{3}}{76494}

x = \pm \frac{4 179 \times 7649 4 ^{3}}{76494}

Separate the equation into 2 possible cases

x = \frac{4 179 \times 7649 4 ^{3}}{76494} x = - \frac{4 179 \times 7649 4 ^{3}}{76494}

Solution

x_{1} = - \frac{4 179 \times 7649 4 ^{3}}{76494}, x_{2} = \frac{4 179 \times 7649 4 ^{3}}{76494}

Alternative Form

x_{1} \approx - 0.219941, x_{2} \approx 0.219941

Show Solution