Solve P^26596-1 - ScanMath

Question

Simplify the expression

6596 P^{2} - 1

Evaluate

P^{2} \times 6596 - 1

Solution

6596 P^{2} - 1

Show Solution

P_{1} = - \frac{1649}{3298}, P_{2} = \frac{1649}{3298}

Alternative Form

P_{1} \approx - 0.012313, P_{2} \approx 0.012313

Evaluate

P^{2} \times 6596 - 1

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

P^{2} \times 6596 - 1 = 0

Use the commutative property to reorder the terms

6596 P^{2} - 1 = 0

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

6596 P^{2} = 0 + 1

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

6596 P^{2} = 1

Divide both sides

\frac{6596 P ^{2}}{6596} = \frac{1}{6596}

Divide the numbers

P^{2} = \frac{1}{6596}

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

P = \pm \frac{1}{6596}

Simplify the expression

More Steps

Evaluate

\frac{1}{6596}

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

\frac{1}{6596}

Simplify the radical expression

\frac{1}{6596}

Simplify the radical expression

More Steps

Evaluate

6596

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

4 \times 1649

Write the number in exponential form with the base of 2

2^{2} \times 1649

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

2^{2} \times 1649

Reduce the index of the radical and exponent with 2

21649

\frac{1}{2 1649}

Multiply by the Conjugate

\frac{1649}{2 1649 \times 1649}

Multiply the numbers

More Steps

Evaluate

21649 \times 1649

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

2 \times 1649

Multiply the terms

3298

\frac{1649}{3298}

P = \pm \frac{1649}{3298}

Separate the equation into 2 possible cases

P = \frac{1649}{3298} P = - \frac{1649}{3298}

Solution

P_{1} = - \frac{1649}{3298}, P_{2} = \frac{1649}{3298}

Alternative Form

P_{1} \approx - 0.012313, P_{2} \approx 0.012313

Show Solution