20i = ((1+i)^15)-1

asked by guest
on Nov 16, 2024 at 11:06 am



You asked:

Solve the equation \(20 i = {\left( 1 + i \right)}^{15} - 1\) for the variable \(i\).

MathBot Answer:

This equation has no unknown quantities, so it is either true or false.

This equation is false because the left-hand side is not equal to the right-hand side.

The left-hand side of the equation is:

\[20 i\]

The right-hand side of the equation is:

\[{\left( 1 + i \right)}^{15} - 1 = -1 + \left(1 + i\right)^{15}\]

\(i\) is the imaginary unit, defined as \(i^2 = -1\).