Question
Solve the equation
x1=−74343,x2=0,x3=74343
Alternative Form
x1≈−0.614788,x2=0,x3≈0.614788
Evaluate
x2−7x6=0
Factor the expression
x2(1−7x4)=0
Separate the equation into 2 possible cases
x2=01−7x4=0
The only way a power can be 0 is when the base equals 0
x=01−7x4=0
Solve the equation
More Steps

Evaluate
1−7x4=0
Move the constant to the right-hand side and change its sign
−7x4=0−1
Removing 0 doesn't change the value,so remove it from the expression
−7x4=−1
Change the signs on both sides of the equation
7x4=1
Divide both sides
77x4=71
Divide the numbers
x4=71
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±471
Simplify the expression
More Steps

Evaluate
471
To take a root of a fraction,take the root of the numerator and denominator separately
4741
Simplify the radical expression
471
Multiply by the Conjugate
47×473473
Simplify
47×4734343
Multiply the numbers
74343
x=±74343
Separate the equation into 2 possible cases
x=74343x=−74343
x=0x=74343x=−74343
Solution
x1=−74343,x2=0,x3=74343
Alternative Form
x1≈−0.614788,x2=0,x3≈0.614788
Show Solution
