Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
20x3−9x2−24x
Evaluate
20x3−9x2−2x×12
Solution
20x3−9x2−24x
Show Solution
Factor the expression
x(20x2−9x−24)
Evaluate
20x3−9x2−2x×12
Multiply the terms
20x3−9x2−24x
Rewrite the expression
x×20x2−x×9x−x×24
Solution
x(20x2−9x−24)
Show Solution
Find the roots
x1=409−2001,x2=0,x3=409+2001
Alternative Form
x1≈−0.893313,x2=0,x3≈1.343313
Evaluate
20x3−9x2−2x×12
To find the roots of the expression,set the expression equal to 0
20x3−9x2−2x×12=0
Multiply the terms
20x3−9x2−24x=0
Factor the expression
x(20x2−9x−24)=0
Separate the equation into 2 possible cases
x=020x2−9x−24=0
Solve the equation
More Steps
Evaluate
20x2−9x−24=0
Substitute a=20,b=−9 and c=−24 into the quadratic formula x=2a−b±b2−4ac
x=2×209±(−9)2−4×20(−24)
Simplify the expression
x=409±(−9)2−4×20(−24)
Simplify the expression
More Steps
Evaluate
(−9)2−4×20(−24)
Multiply
(−9)2−(−1920)
Rewrite the expression
92−(−1920)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
92+1920
Evaluate the power
81+1920
Add the numbers
2001
x=409±2001
Separate the equation into 2 possible cases
x=409+2001x=409−2001
x=0x=409+2001x=409−2001
Solution
x1=409−2001,x2=0,x3=409+2001
Alternative Form
x1≈−0.893313,x2=0,x3≈1.343313
Show Solution