Solve p^44720-1 - Socratic AI (ScanMath)

Câu hỏi

Simplify the expression

4720 p^{4} - 1

Evaluate

p^{4} \times 4720 - 1

Giải pháp

4720 p^{4} - 1

Hiển thị giải pháp

p_{1} = - \frac{4 29 5 ^{3}}{590}, p_{2} = \frac{4 29 5 ^{3}}{590}

Alternative Form

p_{1} \approx - 0.120646, p_{2} \approx 0.120646

Evaluate

p^{4} \times 4720 - 1

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

p^{4} \times 4720 - 1 = 0

Use the commutative property to reorder the terms

4720 p^{4} - 1 = 0

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

4720 p^{4} = 0 + 1

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

4720 p^{4} = 1

Divide both sides

\frac{4720 p ^{4}}{4720} = \frac{1}{4720}

Divide the numbers

p^{4} = \frac{1}{4720}

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

p = \pm 4 \frac{1}{4720}

Simplify the expression

Thêm Bước

Evaluate

4 \frac{1}{4720}

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

\frac{4 1}{4 4720}

Simplify the radical expression

\frac{1}{4 4720}

Simplify the radical expression

Thêm Bước

Evaluate

44720

Write the expression as a product where the root of one of the factors can be evaluated

4 16 \times 295

Write the number in exponential form with the base of 2

4 2^{4} \times 295

The root of a product is equal to the product of the roots of each factor

4 2^{4} \times 4295

Reduce the index of the radical and exponent with 4

24295

\frac{1}{2 4 295}

Multiply by the Conjugate

\frac{4 29 5 ^{3}}{2 4 295 \times 4 29 5 ^{3}}

Multiply the numbers

Thêm Bước

Evaluate

24295 \times 4 29 5^{3}

Multiply the terms

2 \times 295

Multiply the terms

590

\frac{4 29 5 ^{3}}{590}

p = \pm \frac{4 29 5 ^{3}}{590}

Separate the equation into 2 possible cases

p = \frac{4 29 5 ^{3}}{590} p = - \frac{4 29 5 ^{3}}{590}

Giải pháp

p_{1} = - \frac{4 29 5 ^{3}}{590}, p_{2} = \frac{4 29 5 ^{3}}{590}

Alternative Form

p_{1} \approx - 0.120646, p_{2} \approx 0.120646

Hiển thị giải pháp