Solve x: x^3 sqrt(3)x^2 3x - sqrt(3) - Socratic AI (ScanMath)

Pertanyaan

Simplify the expression

\frac{3 - 9 3 \times x ^{5}}{9 x ^{5}}

Tampilkan Solusi

x = 0

Tampilkan Solusi

x = \frac{5 27}{3}

Alternative Form

x \approx 0.644394

Evaluate

x \div (x^{3} 3 \times x^{2} \times 3 x) - 3

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

x \div (x^{3} 3 \times x^{2} \times 3 x) - 3 = 0

Find the domain

Langkah Lebih Banyak

x \div (x^{3} 3 \times x^{2} \times 3 x) - 3 = 0, x \neq = 0

Calculate

x \div (x^{3} 3 \times x^{2} \times 3 x) - 3 = 0

Multiply

Langkah Lebih Banyak

x \div (33 \times x^{6}) - 3 = 0

Divide the terms

Langkah Lebih Banyak

\frac{1}{3 3 \times x ^{5}} - 3 = 0

Subtract the terms

Langkah Lebih Banyak

\frac{1 - 9 x ^{5}}{3 3 \times x ^{5}} = 0

Cross multiply

1 - 9 x^{5} = 33 \times x^{5} \times 0

Simplify the equation

1 - 9 x^{5} = 0

Rewrite the expression

- 9 x^{5} = - 1

Change the signs on both sides of the equation

9 x^{5} = 1

Divide both sides

\frac{9 x ^{5}}{9} = \frac{1}{9}

Divide the numbers

x^{5} = \frac{1}{9}

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

5 x^{5} = 5 \frac{1}{9}

Calculate

x = 5 \frac{1}{9}

Simplify the root

Langkah Lebih Banyak

x = \frac{5 27}{3}

Check if the solution is in the defined range

x = \frac{5 27}{3}, x \neq = 0

Larutan

x = \frac{5 27}{3}

Alternative Form

x \approx 0.644394

Tampilkan Solusi