Solve 9x^6=4x^36 - Socratic AI (ScanMath)

Evaluate

9 x^{6} = 4 x^{3} \times 6

Multiply the terms

9 x^{6} = 24 x^{3}

Add or subtract both sides

9 x^{6} - 24 x^{3} = 0

Factor the expression

3 x^{3} (3 x^{3} - 8) = 0

Divide both sides

x^{3} (3 x^{3} - 8) = 0

Separate the equation into 2 possible cases

x^{3} = 0 3 x^{3} - 8 = 0

The only way a power can be 0 is when the base equals 0

x = 0 3 x^{3} - 8 = 0

Solve the equation

More Steps

x = 0 x = \frac{2 3 9}{3}

Solution

x_{1} = 0, x_{2} = \frac{2 3 9}{3}

Alternative Form

x_{1} = 0, x_{2} \approx 1.386723

9x^6=4x^36