Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
(g,k)=(0,k),k∈R
Alternative Form
Infinitely many solutions
Evaluate
g×1×(g×1)=k×1×i(g×1×π)
Remove the parentheses
g×1×g×1=k×1×ig×1×π
Simplify
More Steps
Evaluate
g×1×g×1
Calculate
g×g
Multiply the terms
g2
g2=kigπ
Multiply the terms
More Steps
Evaluate
kigπ
Use the commutative property to reorder the terms
ikgπ
Multiply the numbers
πikg
g2=πikg
Move the expression to the left side
g2−πikg=0
Rewrite the expression
g2+(−πkg)i=0
Rewrite the expression
{g2=0−πkg=0
Solve the equation for g
{g=0−πkg=0
Substitute the given value of g into the equation −πkg=0
−πk×0=0
Any expression multiplied by 0 equals 0
0=0
Solution
(g,k)=(0,k),k∈R
Alternative Form
Infinitely many solutions
Show Solution
