Solve A^2550-1 - ScanMath

Question

Simplify the expression

550 A^{2} - 1

Evaluate

A^{2} \times 550 - 1

Solution

550 A^{2} - 1

Show Solution

A_{1} = - \frac{22}{110}, A_{2} = \frac{22}{110}

Alternative Form

A_{1} \approx - 0.04264, A_{2} \approx 0.04264

Evaluate

A^{2} \times 550 - 1

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

A^{2} \times 550 - 1 = 0

Use the commutative property to reorder the terms

550 A^{2} - 1 = 0

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

550 A^{2} = 0 + 1

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

550 A^{2} = 1

Divide both sides

\frac{550 A ^{2}}{550} = \frac{1}{550}

Divide the numbers

A^{2} = \frac{1}{550}

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

A = \pm \frac{1}{550}

Simplify the expression

More Steps

Evaluate

\frac{1}{550}

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

\frac{1}{550}

Simplify the radical expression

\frac{1}{550}

Simplify the radical expression

More Steps

Evaluate

550

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

25 \times 22

Write the number in exponential form with the base of 5

5^{2} \times 22

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

5^{2} \times 22

Reduce the index of the radical and exponent with 2

522

\frac{1}{5 22}

Multiply by the Conjugate

\frac{22}{5 22 \times 22}

Multiply the numbers

More Steps

Evaluate

522 \times 22

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

5 \times 22

Multiply the terms

110

\frac{22}{110}

A = \pm \frac{22}{110}

Separate the equation into 2 possible cases

A = \frac{22}{110} A = - \frac{22}{110}

Solution

A_{1} = - \frac{22}{110}, A_{2} = \frac{22}{110}

Alternative Form

A_{1} \approx - 0.04264, A_{2} \approx 0.04264

Show Solution