Solve j^61558-1 - ScanMath

Question

Simplify the expression

1558 j^{6} - 1

Evaluate

j^{6} \times 1558 - 1

Solution

1558 j^{6} - 1

Show Solution

j_{1} = - \frac{6 155 8 ^{5}}{1558}, j_{2} = \frac{6 155 8 ^{5}}{1558}

Alternative Form

j_{1} \approx - 0.293701, j_{2} \approx 0.293701

Evaluate

j^{6} \times 1558 - 1

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

j^{6} \times 1558 - 1 = 0

Use the commutative property to reorder the terms

1558 j^{6} - 1 = 0

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

1558 j^{6} = 0 + 1

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

1558 j^{6} = 1

Divide both sides

\frac{1558 j ^{6}}{1558} = \frac{1}{1558}

Divide the numbers

j^{6} = \frac{1}{1558}

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

j = \pm 6 \frac{1}{1558}

Simplify the expression

More Steps

Evaluate

6 \frac{1}{1558}

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

\frac{6 1}{6 1558}

Simplify the radical expression

\frac{1}{6 1558}

Multiply by the Conjugate

\frac{6 155 8 ^{5}}{6 1558 \times 6 155 8 ^{5}}

Multiply the numbers

More Steps

Evaluate

61558 \times 6 155 8^{5}

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

6 1558 \times 155 8^{5}

Calculate the product

6 155 8^{6}

Reduce the index of the radical and exponent with 6

1558

\frac{6 155 8 ^{5}}{1558}

j = \pm \frac{6 155 8 ^{5}}{1558}

Separate the equation into 2 possible cases

j = \frac{6 155 8 ^{5}}{1558} j = - \frac{6 155 8 ^{5}}{1558}

Solution

j_{1} = - \frac{6 155 8 ^{5}}{1558}, j_{2} = \frac{6 155 8 ^{5}}{1558}

Alternative Form

j_{1} \approx - 0.293701, j_{2} \approx 0.293701

Show Solution