Solve k^2697-1 - ScanMath

Question

Simplify the expression

697 k^{2} - 1

Evaluate

k^{2} \times 697 - 1

Solution

697 k^{2} - 1

Show Solution

k_{1} = - \frac{697}{697}, k_{2} = \frac{697}{697}

Alternative Form

k_{1} \approx - 0.037878, k_{2} \approx 0.037878

Evaluate

k^{2} \times 697 - 1

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

k^{2} \times 697 - 1 = 0

Use the commutative property to reorder the terms

697 k^{2} - 1 = 0

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

697 k^{2} = 0 + 1

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

697 k^{2} = 1

Divide both sides

\frac{697 k ^{2}}{697} = \frac{1}{697}

Divide the numbers

k^{2} = \frac{1}{697}

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

k = \pm \frac{1}{697}

Simplify the expression

More Steps

Evaluate

\frac{1}{697}

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

\frac{1}{697}

Simplify the radical expression

\frac{1}{697}

Multiply by the Conjugate

\frac{697}{697 \times 697}

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

\frac{697}{697}

k = \pm \frac{697}{697}

Separate the equation into 2 possible cases

k = \frac{697}{697} k = - \frac{697}{697}

Solution

k_{1} = - \frac{697}{697}, k_{2} = \frac{697}{697}

Alternative Form

k_{1} \approx - 0.037878, k_{2} \approx 0.037878

Show Solution