Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2x3−x2−200x
Evaluate
2x3−x2−20x×10
Solution
2x3−x2−200x
Show Solution
Factor the expression
x(2x2−x−200)
Evaluate
2x3−x2−20x×10
Multiply the terms
2x3−x2−200x
Rewrite the expression
x×2x2−x×x−x×200
Solution
x(2x2−x−200)
Show Solution
Find the roots
x1=41−1601,x2=0,x3=41+1601
Alternative Form
x1≈−9.753125,x2=0,x3≈10.253125
Evaluate
2x3−x2−20x×10
To find the roots of the expression,set the expression equal to 0
2x3−x2−20x×10=0
Multiply the terms
2x3−x2−200x=0
Factor the expression
x(2x2−x−200)=0
Separate the equation into 2 possible cases
x=02x2−x−200=0
Solve the equation
More Steps
Evaluate
2x2−x−200=0
Substitute a=2,b=−1 and c=−200 into the quadratic formula x=2a−b±b2−4ac
x=2×21±(−1)2−4×2(−200)
Simplify the expression
x=41±(−1)2−4×2(−200)
Simplify the expression
More Steps
Evaluate
(−1)2−4×2(−200)
Evaluate the power
1−4×2(−200)
Multiply
1−(−1600)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
1+1600
Add the numbers
1601
x=41±1601
Separate the equation into 2 possible cases
x=41+1601x=41−1601
x=0x=41+1601x=41−1601
Solution
x1=41−1601,x2=0,x3=41+1601
Alternative Form
x1≈−9.753125,x2=0,x3≈10.253125
Show Solution