Question
Solve the equation
Solve for x
x1=−1,x2=63−21,x3=63+21
Alternative Form
x1=−1,x2≈−0.263763,x3≈1.263763
Evaluate
3x3−4x−1=0
Factor the expression
(x+1)(3x2−3x−1)=0
Separate the equation into 2 possible cases
x+1=03x2−3x−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=−13x2−3x−1=0
Solve the equation
More Steps
Evaluate
3x2−3x−1=0
Substitute a=3,b=−3 and c=−1 into the quadratic formula x=2a−b±b2−4ac
x=2×33±(−3)2−4×3(−1)
Simplify the expression
x=63±(−3)2−4×3(−1)
Simplify the expression
More Steps
Evaluate
(−3)2−4×3(−1)
Multiply
(−3)2−(−12)
Rewrite the expression
32−(−12)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
32+12
Evaluate the power
9+12
Add the numbers
21
x=63±21
Separate the equation into 2 possible cases
x=63+21x=63−21
x=−1x=63+21x=63−21
Solution
x1=−1,x2=63−21,x3=63+21
Alternative Form
x1=−1,x2≈−0.263763,x3≈1.263763
Show Solution