Question
Solve the equation
x1=−741372,x2=0,x3=741372
Alternative Form
x1≈−0.869442,x2=0,x3≈0.869442
Evaluate
5x2−7x6=x2
Move the expression to the left side
5x2−7x6−x2=0
Subtract the terms
More Steps

Evaluate
5x2−x2
Collect like terms by calculating the sum or difference of their coefficients
(5−1)x2
Subtract the numbers
4x2
4x2−7x6=0
Factor the expression
x2(4−7x4)=0
Separate the equation into 2 possible cases
x2=04−7x4=0
The only way a power can be 0 is when the base equals 0
x=04−7x4=0
Solve the equation
More Steps

Evaluate
4−7x4=0
Move the constant to the right-hand side and change its sign
−7x4=0−4
Removing 0 doesn't change the value,so remove it from the expression
−7x4=−4
Change the signs on both sides of the equation
7x4=4
Divide both sides
77x4=74
Divide the numbers
x4=74
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±474
Simplify the expression
More Steps

Evaluate
474
To take a root of a fraction,take the root of the numerator and denominator separately
4744
Simplify the radical expression
472
Multiply by the Conjugate
47×4732×473
Simplify
47×4732×4343
Multiply the numbers
47×47341372
Multiply the numbers
741372
x=±741372
Separate the equation into 2 possible cases
x=741372x=−741372
x=0x=741372x=−741372
Solution
x1=−741372,x2=0,x3=741372
Alternative Form
x1≈−0.869442,x2=0,x3≈0.869442
Show Solution
