Solve 3d^2031-3 - ScanMath

Question

Simplify the expression

93 d^{2} - 3

Evaluate

3 d^{2} \times 31 - 3

Solution

93 d^{2} - 3

Show Solution

3 (31 d^{2} - 1)

Evaluate

3 d^{2} \times 31 - 3

Multiply the terms

93 d^{2} - 3

Solution

3 (31 d^{2} - 1)

Show Solution

d_{1} = - \frac{31}{31}, d_{2} = \frac{31}{31}

Alternative Form

d_{1} \approx - 0.179605, d_{2} \approx 0.179605

Evaluate

3 d^{2} \times 31 - 3

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

3 d^{2} \times 31 - 3 = 0

Multiply the terms

93 d^{2} - 3 = 0

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

93 d^{2} = 0 + 3

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

93 d^{2} = 3

Divide both sides

\frac{93 d ^{2}}{93} = \frac{3}{93}

Divide the numbers

d^{2} = \frac{3}{93}

Cancel out the common factor 3

d^{2} = \frac{1}{31}

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

d = \pm \frac{1}{31}

Simplify the expression

More Steps

Evaluate

\frac{1}{31}

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

\frac{1}{31}

Simplify the radical expression

\frac{1}{31}

Multiply by the Conjugate

\frac{31}{31 \times 31}

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

\frac{31}{31}

d = \pm \frac{31}{31}

Separate the equation into 2 possible cases

d = \frac{31}{31} d = - \frac{31}{31}

Solution

d_{1} = - \frac{31}{31}, d_{2} = \frac{31}{31}

Alternative Form

d_{1} \approx - 0.179605, d_{2} \approx 0.179605

Show Solution