Solve dd 1172-2 - ScanMath

Question

Simplify the expression

1172 d^{2} - 2

Evaluate

d \times d \times 1172 - 2

Solution

More Steps

Evaluate

d \times d \times 1172

Multiply the terms

d^{2} \times 1172

Use the commutative property to reorder the terms

1172 d^{2}

1172 d^{2} - 2

Show Solution

2 (586 d^{2} - 1)

Evaluate

d \times d \times 1172 - 2

Multiply

More Steps

Evaluate

d \times d \times 1172

Multiply the terms

d^{2} \times 1172

Use the commutative property to reorder the terms

1172 d^{2}

1172 d^{2} - 2

Solution

2 (586 d^{2} - 1)

Show Solution

d_{1} = - \frac{586}{586}, d_{2} = \frac{586}{586}

Alternative Form

d_{1} \approx - 0.04131, d_{2} \approx 0.04131

Evaluate

d \times d \times 1172 - 2

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

d \times d \times 1172 - 2 = 0

Multiply

More Steps

Multiply the terms

d \times d \times 1172

Multiply the terms

d^{2} \times 1172

Use the commutative property to reorder the terms

1172 d^{2}

1172 d^{2} - 2 = 0

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

1172 d^{2} = 0 + 2

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

1172 d^{2} = 2

Divide both sides

\frac{1172 d ^{2}}{1172} = \frac{2}{1172}

Divide the numbers

d^{2} = \frac{2}{1172}

Cancel out the common factor 2

d^{2} = \frac{1}{586}

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

d = \pm \frac{1}{586}

Simplify the expression

More Steps

Evaluate

\frac{1}{586}

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

\frac{1}{586}

Simplify the radical expression

\frac{1}{586}

Multiply by the Conjugate

\frac{586}{586 \times 586}

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

\frac{586}{586}

d = \pm \frac{586}{586}

Separate the equation into 2 possible cases

d = \frac{586}{586} d = - \frac{586}{586}

Solution

d_{1} = - \frac{586}{586}, d_{2} = \frac{586}{586}

Alternative Form

d_{1} \approx - 0.04131, d_{2} \approx 0.04131

Show Solution