Question
Simplify the expression
3v2−v11
Evaluate
3v2−v5×v4×v2
Solution
More Steps

Evaluate
v5×v4×v2
Multiply the terms with the same base by adding their exponents
v5+4+2
Add the numbers
v11
3v2−v11
Show Solution

Factor the expression
v2(3−v9)
Evaluate
3v2−v5×v4×v2
Multiply
More Steps

Evaluate
v5×v4×v2
Multiply the terms with the same base by adding their exponents
v5+4+2
Add the numbers
v11
3v2−v11
Rewrite the expression
v2×3−v2×v9
Solution
v2(3−v9)
Show Solution

Find the roots
v1=0,v2=93
Alternative Form
v1=0,v2≈1.129831
Evaluate
3v2−v5×v4×v2
To find the roots of the expression,set the expression equal to 0
3v2−v5×v4×v2=0
Multiply
More Steps

Multiply the terms
v5×v4×v2
Multiply the terms with the same base by adding their exponents
v5+4+2
Add the numbers
v11
3v2−v11=0
Factor the expression
v2(3−v9)=0
Separate the equation into 2 possible cases
v2=03−v9=0
The only way a power can be 0 is when the base equals 0
v=03−v9=0
Solve the equation
More Steps

Evaluate
3−v9=0
Move the constant to the right-hand side and change its sign
−v9=0−3
Removing 0 doesn't change the value,so remove it from the expression
−v9=−3
Change the signs on both sides of the equation
v9=3
Take the 9-th root on both sides of the equation
9v9=93
Calculate
v=93
v=0v=93
Solution
v1=0,v2=93
Alternative Form
v1=0,v2≈1.129831
Show Solution
