Solve 3d^2055-3 - ScanMath

Question

Simplify the expression

165 d^{2} - 3

Evaluate

3 d^{2} \times 55 - 3

Solution

165 d^{2} - 3

Show Solution

3 (55 d^{2} - 1)

Evaluate

3 d^{2} \times 55 - 3

Multiply the terms

165 d^{2} - 3

Solution

3 (55 d^{2} - 1)

Show Solution

d_{1} = - \frac{55}{55}, d_{2} = \frac{55}{55}

Alternative Form

d_{1} \approx - 0.13484, d_{2} \approx 0.13484

Evaluate

3 d^{2} \times 55 - 3

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

3 d^{2} \times 55 - 3 = 0

Multiply the terms

165 d^{2} - 3 = 0

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

165 d^{2} = 0 + 3

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

165 d^{2} = 3

Divide both sides

\frac{165 d ^{2}}{165} = \frac{3}{165}

Divide the numbers

d^{2} = \frac{3}{165}

Cancel out the common factor 3

d^{2} = \frac{1}{55}

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

d = \pm \frac{1}{55}

Simplify the expression

More Steps

Evaluate

\frac{1}{55}

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

\frac{1}{55}

Simplify the radical expression

\frac{1}{55}

Multiply by the Conjugate

\frac{55}{55 \times 55}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{55}{55}

d = \pm \frac{55}{55}

Separate the equation into 2 possible cases

d = \frac{55}{55} d = - \frac{55}{55}

Solution

d_{1} = - \frac{55}{55}, d_{2} = \frac{55}{55}

Alternative Form

d_{1} \approx - 0.13484, d_{2} \approx 0.13484

Show Solution