Question
Solve the equation
x1=−570,x2=0,x3=570
Alternative Form
x1≈−1.67332,x2=0,x3≈1.67332
Evaluate
5x4=2x2×7
Multiply the terms
5x4=14x2
Add or subtract both sides
5x4−14x2=0
Factor the expression
x2(5x2−14)=0
Separate the equation into 2 possible cases
x2=05x2−14=0
The only way a power can be 0 is when the base equals 0
x=05x2−14=0
Solve the equation
More Steps

Evaluate
5x2−14=0
Move the constant to the right-hand side and change its sign
5x2=0+14
Removing 0 doesn't change the value,so remove it from the expression
5x2=14
Divide both sides
55x2=514
Divide the numbers
x2=514
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±514
Simplify the expression
More Steps

Evaluate
514
To take a root of a fraction,take the root of the numerator and denominator separately
514
Multiply by the Conjugate
5×514×5
Multiply the numbers
5×570
When a square root of an expression is multiplied by itself,the result is that expression
570
x=±570
Separate the equation into 2 possible cases
x=570x=−570
x=0x=570x=−570
Solution
x1=−570,x2=0,x3=570
Alternative Form
x1≈−1.67332,x2=0,x3≈1.67332
Show Solution
