Question
Solve the equation
x1=−8421,x2=0,x3=8421
Alternative Form
x1≈−0.054554,x2=0,x3≈0.054554
Evaluate
x2−48x4×7=0
Multiply the terms
x2−336x4=0
Factor the expression
x2(1−336x2)=0
Separate the equation into 2 possible cases
x2=01−336x2=0
The only way a power can be 0 is when the base equals 0
x=01−336x2=0
Solve the equation
More Steps

Evaluate
1−336x2=0
Move the constant to the right-hand side and change its sign
−336x2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−336x2=−1
Change the signs on both sides of the equation
336x2=1
Divide both sides
336336x2=3361
Divide the numbers
x2=3361
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±3361
Simplify the expression
More Steps

Evaluate
3361
To take a root of a fraction,take the root of the numerator and denominator separately
3361
Simplify the radical expression
3361
Simplify the radical expression
4211
Multiply by the Conjugate
421×2121
Multiply the numbers
8421
x=±8421
Separate the equation into 2 possible cases
x=8421x=−8421
x=0x=8421x=−8421
Solution
x1=−8421,x2=0,x3=8421
Alternative Form
x1≈−0.054554,x2=0,x3≈0.054554
Show Solution
