Question :
2x^5+x^4-2x-1=0
Solve the equation
x1=−1,x2=−21,x3=1
Alternative Form
x1=−1,x2=−0.5,x3=1
Evaluate
2x5+x4−2x−1=0
Factor the expression
(x−1)(x+1)(2x+1)(x2+1)=0
Separate the equation into 4 possible cases
x−1=0x+1=02x+1=0x2+1=0
Solve the equation
More Steps
Evaluate
x−1=0
Move the constant to the right-hand side and change its sign
x=0+1
Removing 0 doesn't change the value,so remove it from the expression
x=1
x=1x+1=02x+1=0x2+1=0
Solve the equation
More Steps
Evaluate
x+1=0
Move the constant to the right-hand side and change its sign
x=0−1
Removing 0 doesn't change the value,so remove it from the expression
x=−1
x=1x=−12x+1=0x2+1=0
Solve the equation
More Steps
Evaluate
2x+1=0
Move the constant to the right-hand side and change its sign
2x=0−1
Removing 0 doesn't change the value,so remove it from the expression
2x=−1
Divide both sides
22x=2−1
Divide the numbers
x=2−1
Use b−a=−ba=−ba to rewrite the fraction
x=−21
x=1x=−1x=−21x2+1=0
Solve the equation
More Steps
Evaluate
x2+1=0
Move the constant to the right-hand side and change its sign
x2=0−1
Removing 0 doesn't change the value,so remove it from the expression
x2=−1
Since the left-hand side is always positive or 0,and the right-hand side is always negative,the statement is false for any value of x
x∈/R
x=1x=−1x=−21x∈/R
Find the union
x=1x=−1x=−21
Solution
x1=−1,x2=−21,x3=1
Alternative Form
x1=−1,x2=−0.5,x3=1
Show Solution
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