Question
Solve the equation
x1=−230,x2=0,x3=230
Alternative Form
x1≈−2.738613,x2=0,x3≈2.738613
Evaluate
2x4−5x2×3=0
Multiply the terms
2x4−15x2=0
Factor the expression
x2(2x2−15)=0
Separate the equation into 2 possible cases
x2=02x2−15=0
The only way a power can be 0 is when the base equals 0
x=02x2−15=0
Solve the equation
More Steps

Evaluate
2x2−15=0
Move the constant to the right-hand side and change its sign
2x2=0+15
Removing 0 doesn't change the value,so remove it from the expression
2x2=15
Divide both sides
22x2=215
Divide the numbers
x2=215
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±215
Simplify the expression
More Steps

Evaluate
215
To take a root of a fraction,take the root of the numerator and denominator separately
215
Multiply by the Conjugate
2×215×2
Multiply the numbers
2×230
When a square root of an expression is multiplied by itself,the result is that expression
230
x=±230
Separate the equation into 2 possible cases
x=230x=−230
x=0x=230x=−230
Solution
x1=−230,x2=0,x3=230
Alternative Form
x1≈−2.738613,x2=0,x3≈2.738613
Show Solution
