Question
n2×9136−1
Simplify the expression
9136n2−1
Evaluate
n2×9136−1
Solution
9136n2−1
Show Solution

Find the roots
n1=−2284571,n2=2284571
Alternative Form
n1≈−0.010462,n2≈0.010462
Evaluate
n2×9136−1
To find the roots of the expression,set the expression equal to 0
n2×9136−1=0
Use the commutative property to reorder the terms
9136n2−1=0
Move the constant to the right-hand side and change its sign
9136n2=0+1
Removing 0 doesn't change the value,so remove it from the expression
9136n2=1
Divide both sides
91369136n2=91361
Divide the numbers
n2=91361
Take the root of both sides of the equation and remember to use both positive and negative roots
n=±91361
Simplify the expression
More Steps

Evaluate
91361
To take a root of a fraction,take the root of the numerator and denominator separately
91361
Simplify the radical expression
91361
Simplify the radical expression
More Steps

Evaluate
9136
Write the expression as a product where the root of one of the factors can be evaluated
16×571
Write the number in exponential form with the base of 4
42×571
The root of a product is equal to the product of the roots of each factor
42×571
Reduce the index of the radical and exponent with 2
4571
45711
Multiply by the Conjugate
4571×571571
Multiply the numbers
More Steps

Evaluate
4571×571
When a square root of an expression is multiplied by itself,the result is that expression
4×571
Multiply the terms
2284
2284571
n=±2284571
Separate the equation into 2 possible cases
n=2284571n=−2284571
Solution
n1=−2284571,n2=2284571
Alternative Form
n1≈−0.010462,n2≈0.010462
Show Solution
