Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
20x3−53x2−486x
Evaluate
20x3−53x2−27x×18
Solution
20x3−53x2−486x
Show Solution
Factor the expression
x(20x2−53x−486)
Evaluate
20x3−53x2−27x×18
Multiply the terms
20x3−53x2−486x
Rewrite the expression
x×20x2−x×53x−x×486
Solution
x(20x2−53x−486)
Show Solution
Find the roots
x1=4053−41689,x2=0,x3=4053+41689
Alternative Form
x1≈−3.779471,x2=0,x3≈6.429471
Evaluate
20x3−53x2−27x×18
To find the roots of the expression,set the expression equal to 0
20x3−53x2−27x×18=0
Multiply the terms
20x3−53x2−486x=0
Factor the expression
x(20x2−53x−486)=0
Separate the equation into 2 possible cases
x=020x2−53x−486=0
Solve the equation
More Steps
Evaluate
20x2−53x−486=0
Substitute a=20,b=−53 and c=−486 into the quadratic formula x=2a−b±b2−4ac
x=2×2053±(−53)2−4×20(−486)
Simplify the expression
x=4053±(−53)2−4×20(−486)
Simplify the expression
More Steps
Evaluate
(−53)2−4×20(−486)
Multiply
(−53)2−(−38880)
Rewrite the expression
532−(−38880)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
532+38880
Evaluate the power
2809+38880
Add the numbers
41689
x=4053±41689
Separate the equation into 2 possible cases
x=4053+41689x=4053−41689
x=0x=4053+41689x=4053−41689
Solution
x1=4053−41689,x2=0,x3=4053+41689
Alternative Form
x1≈−3.779471,x2=0,x3≈6.429471
Show Solution