Question
Find the roots
v1=−1348e2674e,v2=1348e2674e
Alternative Form
v1≈−0.234626,v2≈0.234626
Evaluate
e5−2696v2
To find the roots of the expression,set the expression equal to 0
e5−2696v2=0
Move the constant to the right-hand side and change its sign
−2696v2=0−e5
Removing 0 doesn't change the value,so remove it from the expression
−2696v2=−e5
Change the signs on both sides of the equation
2696v2=e5
Divide both sides
26962696v2=2696e5
Divide the numbers
v2=2696e5
Take the root of both sides of the equation and remember to use both positive and negative roots
v=±2696e5
Simplify the expression
More Steps

Evaluate
2696e5
To take a root of a fraction,take the root of the numerator and denominator separately
2696e5
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
2696e2e
Simplify the radical expression
More Steps

Evaluate
2696
Write the expression as a product where the root of one of the factors can be evaluated
4×674
Write the number in exponential form with the base of 2
22×674
The root of a product is equal to the product of the roots of each factor
22×674
Reduce the index of the radical and exponent with 2
2674
2674e2e
Multiply by the Conjugate
2674×674e2e×674
Multiply the numbers
More Steps

Evaluate
e×674
The product of roots with the same index is equal to the root of the product
e×674
Calculate the product
674e
2674×674e2674e
Multiply the numbers
More Steps

Evaluate
2674×674
When a square root of an expression is multiplied by itself,the result is that expression
2×674
Multiply the terms
1348
1348e2674e
v=±1348e2674e
Separate the equation into 2 possible cases
v=1348e2674ev=−1348e2674e
Solution
v1=−1348e2674e,v2=1348e2674e
Alternative Form
v1≈−0.234626,v2≈0.234626
Show Solution
