Solve 1v^4204-150 - Socratic AI (ScanMath)

Question

Simplify the expression

204 v^{4} - 150

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6 (34 v^{4} - 25)

Show Solution

v_{1} = - \frac{4 982600}{34}, v_{2} = \frac{4 982600}{34}

Alternative Form

v_{1} \approx - 0.926009, v_{2} \approx 0.926009

Evaluate

1 \times v^{4} \times 204 - 150

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

1 \times v^{4} \times 204 - 150 = 0

Multiply the terms

More Steps

204 v^{4} - 150 = 0

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

204 v^{4} = 0 + 150

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

204 v^{4} = 150

Divide both sides

\frac{204 v ^{4}}{204} = \frac{150}{204}

Divide the numbers

v^{4} = \frac{150}{204}

Cancel out the common factor 6

v^{4} = \frac{25}{34}

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

v = \pm 4 \frac{25}{34}

Simplify the expression

More Steps

v = \pm \frac{4 982600}{34}

Separate the equation into 2 possible cases

v = \frac{4 982600}{34} v = - \frac{4 982600}{34}

Solution

v_{1} = - \frac{4 982600}{34}, v_{2} = \frac{4 982600}{34}

Alternative Form

v_{1} \approx - 0.926009, v_{2} \approx 0.926009

Show Solution