Solve A^2562-1 - ScanMath

Question

Simplify the expression

562 A^{2} - 1

Evaluate

A^{2} \times 562 - 1

Solution

562 A^{2} - 1

Show Solution

A_{1} = - \frac{562}{562}, A_{2} = \frac{562}{562}

Alternative Form

A_{1} \approx - 0.042182, A_{2} \approx 0.042182

Evaluate

A^{2} \times 562 - 1

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

A^{2} \times 562 - 1 = 0

Use the commutative property to reorder the terms

562 A^{2} - 1 = 0

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

562 A^{2} = 0 + 1

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

562 A^{2} = 1

Divide both sides

\frac{562 A ^{2}}{562} = \frac{1}{562}

Divide the numbers

A^{2} = \frac{1}{562}

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

A = \pm \frac{1}{562}

Simplify the expression

More Steps

Evaluate

\frac{1}{562}

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

\frac{1}{562}

Simplify the radical expression

\frac{1}{562}

Multiply by the Conjugate

\frac{562}{562 \times 562}

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

\frac{562}{562}

A = \pm \frac{562}{562}

Separate the equation into 2 possible cases

A = \frac{562}{562} A = - \frac{562}{562}

Solution

A_{1} = - \frac{562}{562}, A_{2} = \frac{562}{562}

Alternative Form

A_{1} \approx - 0.042182, A_{2} \approx 0.042182

Show Solution