Question
Solve the equation
x1=−9,x2=9
Evaluate
x4−77x2−324=0
Factor the expression
(x−9)(x+9)(x2+4)=0
Separate the equation into 3 possible cases
x−9=0x+9=0x2+4=0
Solve the equation
More Steps

Evaluate
x−9=0
Move the constant to the right-hand side and change its sign
x=0+9
Removing 0 doesn't change the value,so remove it from the expression
x=9
x=9x+9=0x2+4=0
Solve the equation
More Steps

Evaluate
x+9=0
Move the constant to the right-hand side and change its sign
x=0−9
Removing 0 doesn't change the value,so remove it from the expression
x=−9
x=9x=−9x2+4=0
Solve the equation
More Steps

Evaluate
x2+4=0
Move the constant to the right-hand side and change its sign
x2=0−4
Removing 0 doesn't change the value,so remove it from the expression
x2=−4
Since the left-hand side is always positive or 0,and the right-hand side is always negative,the statement is false for any value of x
x∈/R
x=9x=−9x∈/R
Find the union
x=9x=−9
Solution
x1=−9,x2=9
Show Solution
