Solve 9p^2006-30 - ScanMath

Question

Simplify the expression

54 p^{2} - 30

Evaluate

9 p^{2} \times 6 - 30

Solution

54 p^{2} - 30

Show Solution

6 (9 p^{2} - 5)

Evaluate

9 p^{2} \times 6 - 30

Multiply the terms

54 p^{2} - 30

Solution

6 (9 p^{2} - 5)

Show Solution

p_{1} = - \frac{5}{3}, p_{2} = \frac{5}{3}

Alternative Form

p_{1} \approx - 0.745356, p_{2} \approx 0.745356

Evaluate

9 p^{2} \times 6 - 30

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

9 p^{2} \times 6 - 30 = 0

Multiply the terms

54 p^{2} - 30 = 0

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

54 p^{2} = 0 + 30

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

54 p^{2} = 30

Divide both sides

\frac{54 p ^{2}}{54} = \frac{30}{54}

Divide the numbers

p^{2} = \frac{30}{54}

Cancel out the common factor 6

p^{2} = \frac{5}{9}

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

p = \pm \frac{5}{9}

Simplify the expression

More Steps

Evaluate

\frac{5}{9}

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

\frac{5}{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{5}{3}

p = \pm \frac{5}{3}

Separate the equation into 2 possible cases

p = \frac{5}{3} p = - \frac{5}{3}

Solution

p_{1} = - \frac{5}{3}, p_{2} = \frac{5}{3}

Alternative Form

p_{1} \approx - 0.745356, p_{2} \approx 0.745356

Show Solution