Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x3−2x2−70x
Evaluate
x3−2x2−7x×10
Solution
x3−2x2−70x
Show Solution
Factor the expression
x(x2−2x−70)
Evaluate
x3−2x2−7x×10
Multiply the terms
x3−2x2−70x
Rewrite the expression
x×x2−x×2x−x×70
Solution
x(x2−2x−70)
Show Solution
Find the roots
x1=1−71,x2=0,x3=1+71
Alternative Form
x1≈−7.42615,x2=0,x3≈9.42615
Evaluate
x3−2x2−7x×10
To find the roots of the expression,set the expression equal to 0
x3−2x2−7x×10=0
Multiply the terms
x3−2x2−70x=0
Factor the expression
x(x2−2x−70)=0
Separate the equation into 2 possible cases
x=0x2−2x−70=0
Solve the equation
More Steps
Evaluate
x2−2x−70=0
Substitute a=1,b=−2 and c=−70 into the quadratic formula x=2a−b±b2−4ac
x=22±(−2)2−4(−70)
Simplify the expression
More Steps
Evaluate
(−2)2−4(−70)
Multiply the numbers
(−2)2−(−280)
Rewrite the expression
22−(−280)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
22+280
Evaluate the power
4+280
Add the numbers
284
x=22±284
Simplify the radical expression
More Steps
Evaluate
284
Write the expression as a product where the root of one of the factors can be evaluated
4×71
Write the number in exponential form with the base of 2
22×71
The root of a product is equal to the product of the roots of each factor
22×71
Reduce the index of the radical and exponent with 2
271
x=22±271
Separate the equation into 2 possible cases
x=22+271x=22−271
Simplify the expression
x=1+71x=22−271
Simplify the expression
x=1+71x=1−71
x=0x=1+71x=1−71
Solution
x1=1−71,x2=0,x3=1+71
Alternative Form
x1≈−7.42615,x2=0,x3≈9.42615
Show Solution