Question
Solve the equation
x1=−22451,x2=0,x3=22451
Alternative Form
x1≈−0.965307,x2=0,x3≈0.965307
Evaluate
4x×x×110x=410x
Simplify
More Steps

Evaluate
4x×x×110x
Rewrite the expression in exponential form
4x3×110
Multiply the terms
440x3
440x3=410x
Add or subtract both sides
440x3−410x=0
Factor the expression
10x(44x2−41)=0
Divide both sides
x(44x2−41)=0
Separate the equation into 2 possible cases
x=044x2−41=0
Solve the equation
More Steps

Evaluate
44x2−41=0
Move the constant to the right-hand side and change its sign
44x2=0+41
Removing 0 doesn't change the value,so remove it from the expression
44x2=41
Divide both sides
4444x2=4441
Divide the numbers
x2=4441
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4441
Simplify the expression
More Steps

Evaluate
4441
To take a root of a fraction,take the root of the numerator and denominator separately
4441
Simplify the radical expression
21141
Multiply by the Conjugate
211×1141×11
Multiply the numbers
211×11451
Multiply the numbers
22451
x=±22451
Separate the equation into 2 possible cases
x=22451x=−22451
x=0x=22451x=−22451
Solution
x1=−22451,x2=0,x3=22451
Alternative Form
x1≈−0.965307,x2=0,x3≈0.965307
Show Solution
