Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x3−5x2−1280x
Evaluate
x3−5x2−16x×80
Solution
x3−5x2−1280x
Show Solution
Factor the expression
x(x2−5x−1280)
Evaluate
x3−5x2−16x×80
Multiply the terms
x3−5x2−1280x
Rewrite the expression
x×x2−x×5x−x×1280
Solution
x(x2−5x−1280)
Show Solution
Find the roots
x1=25−7105,x2=0,x3=25+7105
Alternative Form
x1≈−33.364328,x2=0,x3≈38.364328
Evaluate
x3−5x2−16x×80
To find the roots of the expression,set the expression equal to 0
x3−5x2−16x×80=0
Multiply the terms
x3−5x2−1280x=0
Factor the expression
x(x2−5x−1280)=0
Separate the equation into 2 possible cases
x=0x2−5x−1280=0
Solve the equation
More Steps
Evaluate
x2−5x−1280=0
Substitute a=1,b=−5 and c=−1280 into the quadratic formula x=2a−b±b2−4ac
x=25±(−5)2−4(−1280)
Simplify the expression
More Steps
Evaluate
(−5)2−4(−1280)
Multiply the numbers
(−5)2−(−5120)
Rewrite the expression
52−(−5120)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
52+5120
Evaluate the power
25+5120
Add the numbers
5145
x=25±5145
Simplify the radical expression
More Steps
Evaluate
5145
Write the expression as a product where the root of one of the factors can be evaluated
49×105
Write the number in exponential form with the base of 7
72×105
The root of a product is equal to the product of the roots of each factor
72×105
Reduce the index of the radical and exponent with 2
7105
x=25±7105
Separate the equation into 2 possible cases
x=25+7105x=25−7105
x=0x=25+7105x=25−7105
Solution
x1=25−7105,x2=0,x3=25+7105
Alternative Form
x1≈−33.364328,x2=0,x3≈38.364328
Show Solution