Solve p^2608-9 - ScanMath

Question

Simplify the expression

608 p^{2} - 9

Evaluate

p^{2} \times 608 - 9

Solution

608 p^{2} - 9

Show Solution

p_{1} = - \frac{3 38}{152}, p_{2} = \frac{3 38}{152}

Alternative Form

p_{1} \approx - 0.121666, p_{2} \approx 0.121666

Evaluate

p^{2} \times 608 - 9

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

p^{2} \times 608 - 9 = 0

Use the commutative property to reorder the terms

608 p^{2} - 9 = 0

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

608 p^{2} = 0 + 9

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

608 p^{2} = 9

Divide both sides

\frac{608 p ^{2}}{608} = \frac{9}{608}

Divide the numbers

p^{2} = \frac{9}{608}

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

p = \pm \frac{9}{608}

Simplify the expression

More Steps

Evaluate

\frac{9}{608}

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

\frac{9}{608}

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{3}{608}

Simplify the radical expression

More Steps

Evaluate

608

Write the expression as a product where the root of one of the factors can be evaluated

16 \times 38

Write the number in exponential form with the base of 4

4^{2} \times 38

The root of a product is equal to the product of the roots of each factor

4^{2} \times 38

Reduce the index of the radical and exponent with 2

438

\frac{3}{4 38}

Multiply by the Conjugate

\frac{3 38}{4 38 \times 38}

Multiply the numbers

More Steps

Evaluate

438 \times 38

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

4 \times 38

Multiply the terms

152

\frac{3 38}{152}

p = \pm \frac{3 38}{152}

Separate the equation into 2 possible cases

p = \frac{3 38}{152} p = - \frac{3 38}{152}

Solution

p_{1} = - \frac{3 38}{152}, p_{2} = \frac{3 38}{152}

Alternative Form

p_{1} \approx - 0.121666, p_{2} \approx 0.121666

Show Solution