Solve p^22260-1 - ScanMath

Question

Simplify the expression

2260 p^{2} - 1

Evaluate

p^{2} \times 2260 - 1

Solution

2260 p^{2} - 1

Show Solution

p_{1} = - \frac{565}{1130}, p_{2} = \frac{565}{1130}

Alternative Form

p_{1} \approx - 0.021035, p_{2} \approx 0.021035

Evaluate

p^{2} \times 2260 - 1

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

p^{2} \times 2260 - 1 = 0

Use the commutative property to reorder the terms

2260 p^{2} - 1 = 0

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

2260 p^{2} = 0 + 1

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

2260 p^{2} = 1

Divide both sides

\frac{2260 p ^{2}}{2260} = \frac{1}{2260}

Divide the numbers

p^{2} = \frac{1}{2260}

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

p = \pm \frac{1}{2260}

Simplify the expression

More Steps

Evaluate

\frac{1}{2260}

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

\frac{1}{2260}

Simplify the radical expression

\frac{1}{2260}

Simplify the radical expression

More Steps

Evaluate

2260

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

4 \times 565

Write the number in exponential form with the base of 2

2^{2} \times 565

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

2^{2} \times 565

Reduce the index of the radical and exponent with 2

2565

\frac{1}{2 565}

Multiply by the Conjugate

\frac{565}{2 565 \times 565}

Multiply the numbers

More Steps

Evaluate

2565 \times 565

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

2 \times 565

Multiply the terms

1130

\frac{565}{1130}

p = \pm \frac{565}{1130}

Separate the equation into 2 possible cases

p = \frac{565}{1130} p = - \frac{565}{1130}

Solution

p_{1} = - \frac{565}{1130}, p_{2} = \frac{565}{1130}

Alternative Form

p_{1} \approx - 0.021035, p_{2} \approx 0.021035

Show Solution