Solve A^2850-1 - ScanMath

Question

Simplify the expression

850 A^{2} - 1

Evaluate

A^{2} \times 850 - 1

Solution

850 A^{2} - 1

Show Solution

A_{1} = - \frac{34}{170}, A_{2} = \frac{34}{170}

Alternative Form

A_{1} \approx - 0.0343, A_{2} \approx 0.0343

Evaluate

A^{2} \times 850 - 1

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

A^{2} \times 850 - 1 = 0

Use the commutative property to reorder the terms

850 A^{2} - 1 = 0

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

850 A^{2} = 0 + 1

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

850 A^{2} = 1

Divide both sides

\frac{850 A ^{2}}{850} = \frac{1}{850}

Divide the numbers

A^{2} = \frac{1}{850}

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

A = \pm \frac{1}{850}

Simplify the expression

More Steps

Evaluate

\frac{1}{850}

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

\frac{1}{850}

Simplify the radical expression

\frac{1}{850}

Simplify the radical expression

More Steps

Evaluate

850

Write the expression as a product where the root of one of the factors can be evaluated

25 \times 34

Write the number in exponential form with the base of 5

5^{2} \times 34

The root of a product is equal to the product of the roots of each factor

5^{2} \times 34

Reduce the index of the radical and exponent with 2

534

\frac{1}{5 34}

Multiply by the Conjugate

\frac{34}{5 34 \times 34}

Multiply the numbers

More Steps

Evaluate

534 \times 34

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

5 \times 34

Multiply the terms

170

\frac{34}{170}

A = \pm \frac{34}{170}

Separate the equation into 2 possible cases

A = \frac{34}{170} A = - \frac{34}{170}

Solution

A_{1} = - \frac{34}{170}, A_{2} = \frac{34}{170}

Alternative Form

A_{1} \approx - 0.0343, A_{2} \approx 0.0343

Show Solution