Solve 1= 2/3 (7x^6) - Socratic AI (ScanMath)

Evaluate

1 = \frac{2}{3} \times 7 x^{6}

Multiply the numbers

More Steps

1 = \frac{14}{3} x^{6}

Swap the sides of the equation

\frac{14}{3} x^{6} = 1

Multiply by the reciprocal

\frac{14}{3} x^{6} \times \frac{3}{14} = 1 \times \frac{3}{14}

Multiply

x^{6} = 1 \times \frac{3}{14}

Any expression multiplied by 1 remains the same

x^{6} = \frac{3}{14}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 6 \frac{3}{14}

Simplify the expression

More Steps

x = \pm \frac{6 3 \times 1 4 ^{5}}{14}

Separate the equation into 2 possible cases

x = \frac{6 3 \times 1 4 ^{5}}{14} x = - \frac{6 3 \times 1 4 ^{5}}{14}

Solution

x_{1} = - \frac{6 3 \times 1 4 ^{5}}{14}, x_{2} = \frac{6 3 \times 1 4 ^{5}}{14}

Alternative Form

x_{1} \approx - 0.773569, x_{2} \approx 0.773569

1= 2/3 (7x^6)