Question
Solve the equation
x1=−15010,x2=0,x3=15010
Alternative Form
x1≈−0.021082,x2=0,x3≈0.021082
Evaluate
x2−45x4×50=0
Multiply the terms
x2−2250x4=0
Factor the expression
x2(1−2250x2)=0
Separate the equation into 2 possible cases
x2=01−2250x2=0
The only way a power can be 0 is when the base equals 0
x=01−2250x2=0
Solve the equation
More Steps

Evaluate
1−2250x2=0
Move the constant to the right-hand side and change its sign
−2250x2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−2250x2=−1
Change the signs on both sides of the equation
2250x2=1
Divide both sides
22502250x2=22501
Divide the numbers
x2=22501
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±22501
Simplify the expression
More Steps

Evaluate
22501
To take a root of a fraction,take the root of the numerator and denominator separately
22501
Simplify the radical expression
22501
Simplify the radical expression
15101
Multiply by the Conjugate
1510×1010
Multiply the numbers
15010
x=±15010
Separate the equation into 2 possible cases
x=15010x=−15010
x=0x=15010x=−15010
Solution
x1=−15010,x2=0,x3=15010
Alternative Form
x1≈−0.021082,x2=0,x3≈0.021082
Show Solution
