Question
Solve the equation
x1=−721,x2=0,x3=721
Alternative Form
x1≈−0.654654,x2=0,x3≈0.654654
Evaluate
3x2−7x4=0
Factor the expression
x2(3−7x2)=0
Separate the equation into 2 possible cases
x2=03−7x2=0
The only way a power can be 0 is when the base equals 0
x=03−7x2=0
Solve the equation
More Steps

Evaluate
3−7x2=0
Move the constant to the right-hand side and change its sign
−7x2=0−3
Removing 0 doesn't change the value,so remove it from the expression
−7x2=−3
Change the signs on both sides of the equation
7x2=3
Divide both sides
77x2=73
Divide the numbers
x2=73
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±73
Simplify the expression
More Steps

Evaluate
73
To take a root of a fraction,take the root of the numerator and denominator separately
73
Multiply by the Conjugate
7×73×7
Multiply the numbers
7×721
When a square root of an expression is multiplied by itself,the result is that expression
721
x=±721
Separate the equation into 2 possible cases
x=721x=−721
x=0x=721x=−721
Solution
x1=−721,x2=0,x3=721
Alternative Form
x1≈−0.654654,x2=0,x3≈0.654654
Show Solution
