Question
Solve the equation
x1=−34297,x2=0,x3=34297
Alternative Form
x1≈−1.383783,x2=0,x3≈1.383783
Evaluate
3x5=x×11
Use the commutative property to reorder the terms
3x5=11x
Add or subtract both sides
3x5−11x=0
Factor the expression
x(3x4−11)=0
Separate the equation into 2 possible cases
x=03x4−11=0
Solve the equation
More Steps

Evaluate
3x4−11=0
Move the constant to the right-hand side and change its sign
3x4=0+11
Removing 0 doesn't change the value,so remove it from the expression
3x4=11
Divide both sides
33x4=311
Divide the numbers
x4=311
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4311
Simplify the expression
More Steps

Evaluate
4311
To take a root of a fraction,take the root of the numerator and denominator separately
43411
Multiply by the Conjugate
43×433411×433
Simplify
43×433411×427
Multiply the numbers
43×4334297
Multiply the numbers
34297
x=±34297
Separate the equation into 2 possible cases
x=34297x=−34297
x=0x=34297x=−34297
Solution
x1=−34297,x2=0,x3=34297
Alternative Form
x1≈−1.383783,x2=0,x3≈1.383783
Show Solution
