Question
Solve the equation
Solve for d
Solve for k
Solve for q
d=eekqd=−eekq
Evaluate
e=k×d2q
Multiply the terms
e=d2kq
Swap the sides of the equation
d2kq=e
Cross multiply
kq=d2e
Simplify the equation
kq=ed2
Swap the sides of the equation
ed2=kq
Divide both sides
eed2=ekq
Divide the numbers
d2=ekq
Take the root of both sides of the equation and remember to use both positive and negative roots
d=±ekq
Simplify the expression
More Steps

Evaluate
ekq
To take a root of a fraction,take the root of the numerator and denominator separately
ekq
Multiply by the Conjugate
e×ekq×e
Calculate
ekq×e
Calculate
More Steps

Evaluate
kq×e
The product of roots with the same index is equal to the root of the product
kqe
Calculate the product
ekq
eekq
d=±eekq
Solution
d=eekqd=−eekq
Show Solution
