Solve p^49750-1 - ScanMath

Question

Simplify the expression

9750 p^{4} - 1

Evaluate

p^{4} \times 9750 - 1

Solution

9750 p^{4} - 1

Show Solution

p_{1} = - \frac{4 975 0 ^{3}}{9750}, p_{2} = \frac{4 975 0 ^{3}}{9750}

Alternative Form

p_{1} \approx - 0.100635, p_{2} \approx 0.100635

Evaluate

p^{4} \times 9750 - 1

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

p^{4} \times 9750 - 1 = 0

Use the commutative property to reorder the terms

9750 p^{4} - 1 = 0

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

9750 p^{4} = 0 + 1

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

9750 p^{4} = 1

Divide both sides

\frac{9750 p ^{4}}{9750} = \frac{1}{9750}

Divide the numbers

p^{4} = \frac{1}{9750}

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

p = \pm 4 \frac{1}{9750}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{9750}

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

\frac{4 1}{4 9750}

Simplify the radical expression

\frac{1}{4 9750}

Multiply by the Conjugate

\frac{4 975 0 ^{3}}{4 9750 \times 4 975 0 ^{3}}

Multiply the numbers

More Steps

Evaluate

49750 \times 4 975 0^{3}

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

4 9750 \times 975 0^{3}

Calculate the product

4 975 0^{4}

Reduce the index of the radical and exponent with 4

9750

\frac{4 975 0 ^{3}}{9750}

p = \pm \frac{4 975 0 ^{3}}{9750}

Separate the equation into 2 possible cases

p = \frac{4 975 0 ^{3}}{9750} p = - \frac{4 975 0 ^{3}}{9750}

Solution

p_{1} = - \frac{4 975 0 ^{3}}{9750}, p_{2} = \frac{4 975 0 ^{3}}{9750}

Alternative Form

p_{1} \approx - 0.100635, p_{2} \approx 0.100635

Show Solution