Solve 4(k 1)^2-1 - ScanMath

Question

Simplify the expression

4 k^{2} - 1

Evaluate

4 (k \times 1)^{2} - 1

Solution

4 k^{2} - 1

Show Solution

(2 k - 1) (2 k + 1)

Evaluate

4 (k \times 1)^{2} - 1

Any expression multiplied by 1 remains the same

4 k^{2} - 1

Rewrite the expression in exponential form

(2 k)^{2} - 1^{2}

Solution

(2 k - 1) (2 k + 1)

Show Solution

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

Alternative Form

k_{1} = - 0.5, k_{2} = 0.5

Evaluate

4 (k \times 1)^{2} - 1

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

4 (k \times 1)^{2} - 1 = 0

Any expression multiplied by 1 remains the same

4 k^{2} - 1 = 0

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

4 k^{2} = 0 + 1

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

4 k^{2} = 1

Divide both sides

\frac{4 k ^{2}}{4} = \frac{1}{4}

Divide the numbers

k^{2} = \frac{1}{4}

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

k = \pm \frac{1}{4}

Simplify the expression

More Steps

Evaluate

\frac{1}{4}

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

\frac{1}{4}

Simplify the radical expression

\frac{1}{4}

Simplify the radical expression

More Steps

Evaluate

4

Write the number in exponential form with the base of 2

2^{2}

Reduce the index of the radical and exponent with 2

2

\frac{1}{2}

k = \pm \frac{1}{2}

Separate the equation into 2 possible cases

k = \frac{1}{2} k = - \frac{1}{2}

Solution

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

Alternative Form

k_{1} = - 0.5, k_{2} = 0.5

Show Solution