Solve 280x^65-203

Question

Simplify the expression

1400 x^{6} - 203

Evaluate

280 x^{6} \times 5 - 203

Solution

1400 x^{6} - 203

Show Solution

7 (200 x^{6} - 29)

Evaluate

280 x^{6} \times 5 - 203

Multiply the terms

1400 x^{6} - 203

Solution

7 (200 x^{6} - 29)

Show Solution

x_{1} = - \frac{6 29 \times 20 0 ^{5}}{200}, x_{2} = \frac{6 29 \times 20 0 ^{5}}{200}

Alternative Form

x_{1} \approx - 0.724816, x_{2} \approx 0.724816

Evaluate

280 x^{6} \times 5 - 203

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

280 x^{6} \times 5 - 203 = 0

Multiply the terms

1400 x^{6} - 203 = 0

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

1400 x^{6} = 0 + 203

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

1400 x^{6} = 203

Divide both sides

\frac{1400 x ^{6}}{1400} = \frac{203}{1400}

Divide the numbers

x^{6} = \frac{203}{1400}

Cancel out the common factor 7

x^{6} = \frac{29}{200}

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

x = \pm 6 \frac{29}{200}

Simplify the expression

More Steps

Evaluate

6 \frac{29}{200}

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

\frac{6 29}{6 200}

Multiply by the Conjugate

\frac{6 29 \times 6 20 0 ^{5}}{6 200 \times 6 20 0 ^{5}}

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

\frac{6 29 \times 20 0 ^{5}}{6 200 \times 6 20 0 ^{5}}

Multiply the numbers

More Steps

Evaluate

6200 \times 6 20 0^{5}

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

6 200 \times 20 0^{5}

Calculate the product

6 20 0^{6}

Reduce the index of the radical and exponent with 6

200

\frac{6 29 \times 20 0 ^{5}}{200}

x = \pm \frac{6 29 \times 20 0 ^{5}}{200}

Separate the equation into 2 possible cases

x = \frac{6 29 \times 20 0 ^{5}}{200} x = - \frac{6 29 \times 20 0 ^{5}}{200}

Solution

x_{1} = - \frac{6 29 \times 20 0 ^{5}}{200}, x_{2} = \frac{6 29 \times 20 0 ^{5}}{200}

Alternative Form

x_{1} \approx - 0.724816, x_{2} \approx 0.724816

Show Solution