Solve 9x^5006-30 - ScanMath

Question

Simplify the expression

Solution

54 x^{5} - 30

Evaluate

9 x^{5} \times 6 - 30

Solution

54 x^{5} - 30

Show Solution

Factor the expression

Factor

6 (9 x^{5} - 5)

Evaluate

9 x^{5} \times 6 - 30

Multiply the terms

54 x^{5} - 30

Solution

6 (9 x^{5} - 5)

Show Solution

Find the roots

Find the roots of the algebra expression

x = \frac{5 135}{3}

Alternative Form

x \approx 0.88909

Evaluate

9 x^{5} \times 6 - 30

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

9 x^{5} \times 6 - 30 = 0

Multiply the terms

54 x^{5} - 30 = 0

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

54 x^{5} = 0 + 30

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

54 x^{5} = 30

Divide both sides

\frac{54 x ^{5}}{54} = \frac{30}{54}

Divide the numbers

x^{5} = \frac{30}{54}

Cancel out the common factor 6

x^{5} = \frac{5}{9}

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

5 x^{5} = 5 \frac{5}{9}

Calculate

x = 5 \frac{5}{9}

Solution

More Steps

Evaluate

5 \frac{5}{9}

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

\frac{5 5}{5 9}

Multiply by the Conjugate

\frac{5 5 \times 5 9 ^{4}}{5 9 \times 5 9 ^{4}}

Simplify

\frac{5 5 \times 3 5 27}{5 9 \times 5 9 ^{4}}

Multiply the numbers

More Steps

Evaluate

55 \times 3527

Multiply the terms

5135 \times 3

Use the commutative property to reorder the terms

35135

\frac{3 5 135}{5 9 \times 5 9 ^{4}}

Multiply the numbers

More Steps

Evaluate

59 \times 5 9^{4}

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

5 9 \times 9^{4}

Calculate the product

5 9^{5}

Transform the expression

5 3^{10}

Reduce the index of the radical and exponent with 5

3^{2}

\frac{3 5 135}{3 ^{2}}

Reduce the fraction

More Steps

Evaluate

\frac{3}{3 ^{2}}

Use the product rule \frac{a ^{n}}{a ^{m}} = a^{n - m} to simplify the expression

\frac{1}{3 ^{2 - 1}}

Subtract the terms

\frac{1}{3 ^{1}}

Simplify

\frac{1}{3}

\frac{5 135}{3}

x = \frac{5 135}{3}

Alternative Form

x \approx 0.88909

Show Solution

9x^5006 30

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression