Solve 9x^6 x+4 - ScanMath

Question

Simplify the expression

Solution

9 x^{7} + 4

Evaluate

9 x^{6} \times x + 4

Solution

More Steps

Evaluate

9 x^{6} \times x

Multiply the terms with the same base by adding their exponents

9 x^{6 + 1}

Add the numbers

9 x^{7}

9 x^{7} + 4

Show Solution

Find the roots

Find the roots of the algebra expression

x = - \frac{7 972}{3}

Alternative Form

x \approx - 0.890611

Evaluate

9 x^{6} \times x + 4

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

9 x^{6} \times x + 4 = 0

Multiply

More Steps

Multiply the terms

9 x^{6} \times x

Multiply the terms with the same base by adding their exponents

9 x^{6 + 1}

Add the numbers

9 x^{7}

9 x^{7} + 4 = 0

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

9 x^{7} = 0 - 4

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

9 x^{7} = - 4

Divide both sides

\frac{9 x ^{7}}{9} = \frac{- 4}{9}

Divide the numbers

x^{7} = \frac{- 4}{9}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x^{7} = - \frac{4}{9}

Take the 7 -th root on both sides of the equation

7 x^{7} = 7 - \frac{4}{9}

Calculate

x = 7 - \frac{4}{9}

Solution

More Steps

Evaluate

7 - \frac{4}{9}

An odd root of a negative radicand is always a negative

- 7 \frac{4}{9}

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

- \frac{7 4}{7 9}

Rewrite the expression

\frac{- 7 4}{7 9}

Multiply by the Conjugate

\frac{- 7 4 \times 7 9 ^{6}}{7 9 \times 7 9 ^{6}}

Simplify

\frac{- 7 4 \times 3 7 243}{7 9 \times 7 9 ^{6}}

Multiply the numbers

More Steps

Evaluate

- 74 \times 37243

Multiply the terms

- 7972 \times 3

Use the commutative property to reorder the terms

- 37972

\frac{- 3 7 972}{7 9 \times 7 9 ^{6}}

Multiply the numbers

More Steps

Evaluate

79 \times 7 9^{6}

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

7 9 \times 9^{6}

Calculate the product

7 9^{7}

Transform the expression

7 3^{14}

Reduce the index of the radical and exponent with 7

3^{2}

\frac{- 3 7 972}{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{- 7 972}{3}

Calculate

- \frac{7 972}{3}

x = - \frac{7 972}{3}

Alternative Form

x \approx - 0.890611

Show Solution