Solve 9w^2003-33 - ScanMath

Question

Simplify the expression

27 w^{2} - 33

Evaluate

9 w^{2} \times 3 - 33

Solution

27 w^{2} - 33

Show Solution

3 (9 w^{2} - 11)

Evaluate

9 w^{2} \times 3 - 33

Multiply the terms

27 w^{2} - 33

Solution

3 (9 w^{2} - 11)

Show Solution

w_{1} = - \frac{11}{3}, w_{2} = \frac{11}{3}

Alternative Form

w_{1} \approx - 1.105542, w_{2} \approx 1.105542

Evaluate

9 w^{2} \times 3 - 33

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

9 w^{2} \times 3 - 33 = 0

Multiply the terms

27 w^{2} - 33 = 0

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

27 w^{2} = 0 + 33

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

27 w^{2} = 33

Divide both sides

\frac{27 w ^{2}}{27} = \frac{33}{27}

Divide the numbers

w^{2} = \frac{33}{27}

Cancel out the common factor 3

w^{2} = \frac{11}{9}

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

w = \pm \frac{11}{9}

Simplify the expression

More Steps

Evaluate

\frac{11}{9}

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

\frac{11}{9}

Simplify the radical expression

More Steps

Evaluate

9

Write the number in exponential form with the base of 3

3^{2}

Reduce the index of the radical and exponent with 2

3

\frac{11}{3}

w = \pm \frac{11}{3}

Separate the equation into 2 possible cases

w = \frac{11}{3} w = - \frac{11}{3}

Solution

w_{1} = - \frac{11}{3}, w_{2} = \frac{11}{3}

Alternative Form

w_{1} \approx - 1.105542, w_{2} \approx 1.105542

Show Solution