Solve p^41499-1 - ScanMath

Question

Simplify the expression

1499 p^{4} - 1

Evaluate

p^{4} \times 1499 - 1

Solution

1499 p^{4} - 1

Show Solution

p_{1} = - \frac{4 149 9 ^{3}}{1499}, p_{2} = \frac{4 149 9 ^{3}}{1499}

Alternative Form

p_{1} \approx - 0.160712, p_{2} \approx 0.160712

Evaluate

p^{4} \times 1499 - 1

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

p^{4} \times 1499 - 1 = 0

Use the commutative property to reorder the terms

1499 p^{4} - 1 = 0

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

1499 p^{4} = 0 + 1

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

1499 p^{4} = 1

Divide both sides

\frac{1499 p ^{4}}{1499} = \frac{1}{1499}

Divide the numbers

p^{4} = \frac{1}{1499}

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

p = \pm 4 \frac{1}{1499}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{1499}

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

\frac{4 1}{4 1499}

Simplify the radical expression

\frac{1}{4 1499}

Multiply by the Conjugate

\frac{4 149 9 ^{3}}{4 1499 \times 4 149 9 ^{3}}

Multiply the numbers

More Steps

Evaluate

41499 \times 4 149 9^{3}

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

4 1499 \times 149 9^{3}

Calculate the product

4 149 9^{4}

Reduce the index of the radical and exponent with 4

1499

\frac{4 149 9 ^{3}}{1499}

p = \pm \frac{4 149 9 ^{3}}{1499}

Separate the equation into 2 possible cases

p = \frac{4 149 9 ^{3}}{1499} p = - \frac{4 149 9 ^{3}}{1499}

Solution

p_{1} = - \frac{4 149 9 ^{3}}{1499}, p_{2} = \frac{4 149 9 ^{3}}{1499}

Alternative Form

p_{1} \approx - 0.160712, p_{2} \approx 0.160712

Show Solution