Question
Find the roots
v1=−2667e22667e,v2=2667e22667e
Alternative Form
v1≈−0.235898,v2≈0.235898
Evaluate
e5−2667v2
To find the roots of the expression,set the expression equal to 0
e5−2667v2=0
Move the constant to the right-hand side and change its sign
−2667v2=0−e5
Removing 0 doesn't change the value,so remove it from the expression
−2667v2=−e5
Change the signs on both sides of the equation
2667v2=e5
Divide both sides
26672667v2=2667e5
Divide the numbers
v2=2667e5
Take the root of both sides of the equation and remember to use both positive and negative roots
v=±2667e5
Simplify the expression
More Steps

Evaluate
2667e5
To take a root of a fraction,take the root of the numerator and denominator separately
2667e5
Simplify the radical expression
More Steps

Evaluate
e5
Rewrite the exponent as a sum where one of the addends is a multiple of the index
e4+1
Use am+n=am×an to expand the expression
e4×e
The root of a product is equal to the product of the roots of each factor
e4×e
Reduce the index of the radical and exponent with 2
e2e
2667e2e
Multiply by the Conjugate
2667×2667e2e×2667
Multiply the numbers
More Steps

Evaluate
e×2667
The product of roots with the same index is equal to the root of the product
e×2667
Calculate the product
2667e
2667×2667e22667e
When a square root of an expression is multiplied by itself,the result is that expression
2667e22667e
v=±2667e22667e
Separate the equation into 2 possible cases
v=2667e22667ev=−2667e22667e
Solution
v1=−2667e22667e,v2=2667e22667e
Alternative Form
v1≈−0.235898,v2≈0.235898
Show Solution
