Solve 18v 18v-1505

Question

Simplify the expression

324 v^{2} - 1505

Evaluate

18 v \times 18 v - 1505

Solution

More Steps

Evaluate

18 v \times 18 v

Multiply the terms

324 v \times v

Multiply the terms

324 v^{2}

324 v^{2} - 1505

Show Solution

v_{1} = - \frac{1505}{18}, v_{2} = \frac{1505}{18}

Alternative Form

v_{1} \approx - 2.155241, v_{2} \approx 2.155241

Evaluate

18 v \times 18 v - 1505

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

18 v \times 18 v - 1505 = 0

Multiply

More Steps

Multiply the terms

18 v \times 18 v

Multiply the terms

324 v \times v

Multiply the terms

324 v^{2}

324 v^{2} - 1505 = 0

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

324 v^{2} = 0 + 1505

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

324 v^{2} = 1505

Divide both sides

\frac{324 v ^{2}}{324} = \frac{1505}{324}

Divide the numbers

v^{2} = \frac{1505}{324}

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

v = \pm \frac{1505}{324}

Simplify the expression

More Steps

Evaluate

\frac{1505}{324}

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

\frac{1505}{324}

Simplify the radical expression

More Steps

Evaluate

324

Write the number in exponential form with the base of 18

1 8^{2}

Reduce the index of the radical and exponent with 2

18

\frac{1505}{18}

v = \pm \frac{1505}{18}

Separate the equation into 2 possible cases

v = \frac{1505}{18} v = - \frac{1505}{18}

Solution

v_{1} = - \frac{1505}{18}, v_{2} = \frac{1505}{18}

Alternative Form

v_{1} \approx - 2.155241, v_{2} \approx 2.155241

Show Solution