Solve 3d^5023-9 - ScanMath

Question

Simplify the expression

69 d^{5} - 9

Evaluate

3 d^{5} \times 23 - 9

Solution

69 d^{5} - 9

Show Solution

3 (23 d^{5} - 3)

Evaluate

3 d^{5} \times 23 - 9

Multiply the terms

69 d^{5} - 9

Solution

3 (23 d^{5} - 3)

Show Solution

d = \frac{5 3 \times 2 3 ^{4}}{23}

Alternative Form

d \approx 0.665394

Evaluate

3 d^{5} \times 23 - 9

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

3 d^{5} \times 23 - 9 = 0

Multiply the terms

69 d^{5} - 9 = 0

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

69 d^{5} = 0 + 9

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

69 d^{5} = 9

Divide both sides

\frac{69 d ^{5}}{69} = \frac{9}{69}

Divide the numbers

d^{5} = \frac{9}{69}

Cancel out the common factor 3

d^{5} = \frac{3}{23}

Take the 5 -th root on both sides of the equation

5 d^{5} = 5 \frac{3}{23}

Calculate

d = 5 \frac{3}{23}

Solution

More Steps

Evaluate

5 \frac{3}{23}

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

\frac{5 3}{5 23}

Multiply by the Conjugate

\frac{5 3 \times 5 2 3 ^{4}}{5 23 \times 5 2 3 ^{4}}

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

\frac{5 3 \times 2 3 ^{4}}{5 23 \times 5 2 3 ^{4}}

Multiply the numbers

More Steps

Evaluate

523 \times 5 2 3^{4}

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

5 23 \times 2 3^{4}

Calculate the product

5 2 3^{5}

Reduce the index of the radical and exponent with 5

23

\frac{5 3 \times 2 3 ^{4}}{23}

d = \frac{5 3 \times 2 3 ^{4}}{23}

Alternative Form

d \approx 0.665394

Show Solution