Solve k^23-443-0 - ScanMath

Question

Simplify the expression

3 k^{2} - 443

Evaluate

k^{2} \times 3 - 443 - 0

Use the commutative property to reorder the terms

3 k^{2} - 443 - 0

Solution

3 k^{2} - 443

Show Solution

k_{1} = - \frac{1329}{3}, k_{2} = \frac{1329}{3}

Alternative Form

k_{1} \approx - 12.151817, k_{2} \approx 12.151817

Evaluate

k^{2} \times 3 - 443 - 0

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

k^{2} \times 3 - 443 - 0 = 0

Use the commutative property to reorder the terms

3 k^{2} - 443 - 0 = 0

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

3 k^{2} - 443 = 0

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

3 k^{2} = 0 + 443

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

3 k^{2} = 443

Divide both sides

\frac{3 k ^{2}}{3} = \frac{443}{3}

Divide the numbers

k^{2} = \frac{443}{3}

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

k = \pm \frac{443}{3}

Simplify the expression

More Steps

Evaluate

\frac{443}{3}

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

\frac{443}{3}

Multiply by the Conjugate

\frac{443 \times 3}{3 \times 3}

Multiply the numbers

More Steps

Evaluate

443 \times 3

The product of roots with the same index is equal to the root of the product

443 \times 3

Calculate the product

1329

\frac{1329}{3 \times 3}

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

\frac{1329}{3}

k = \pm \frac{1329}{3}

Separate the equation into 2 possible cases

k = \frac{1329}{3} k = - \frac{1329}{3}

Solution

k_{1} = - \frac{1329}{3}, k_{2} = \frac{1329}{3}

Alternative Form

k_{1} \approx - 12.151817, k_{2} \approx 12.151817

Show Solution