Question
Find the roots
c1=−2690e22690e,c2=2690e22690e
Alternative Form
c1≈−0.234888,c2≈0.234888
Evaluate
e5−2690c2
To find the roots of the expression,set the expression equal to 0
e5−2690c2=0
Move the constant to the right-hand side and change its sign
−2690c2=0−e5
Removing 0 doesn't change the value,so remove it from the expression
−2690c2=−e5
Change the signs on both sides of the equation
2690c2=e5
Divide both sides
26902690c2=2690e5
Divide the numbers
c2=2690e5
Take the root of both sides of the equation and remember to use both positive and negative roots
c=±2690e5
Simplify the expression
More Steps

Evaluate
2690e5
To take a root of a fraction,take the root of the numerator and denominator separately
2690e5
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
2690e2e
Multiply by the Conjugate
2690×2690e2e×2690
Multiply the numbers
More Steps

Evaluate
e×2690
The product of roots with the same index is equal to the root of the product
e×2690
Calculate the product
2690e
2690×2690e22690e
When a square root of an expression is multiplied by itself,the result is that expression
2690e22690e
c=±2690e22690e
Separate the equation into 2 possible cases
c=2690e22690ec=−2690e22690e
Solution
c1=−2690e22690e,c2=2690e22690e
Alternative Form
c1≈−0.234888,c2≈0.234888
Show Solution
