Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
π−2ϕ−1−π2
Evaluate
π−ϕ−1−ϕ−π×1×π
Multiply the terms
More Steps
Multiply the terms
−π×1×π
Rewrite the expression
−π×π
Multiply the terms with the same base by adding their exponents
π1+1
Add the numbers
−π2
π−ϕ−1−ϕ−π2
Solution
More Steps
Evaluate
−ϕ−ϕ
Collect like terms by calculating the sum or difference of their coefficients
(−1−1)ϕ
Subtract the numbers
−2ϕ
π−2ϕ−1−π2
Show Solution
Find the roots
ϕ=2π−1−π2
Alternative Form
ϕ≈−3.864006
Evaluate
π−ϕ−1−ϕ−π×1×π
To find the roots of the expression,set the expression equal to 0
π−ϕ−1−ϕ−π×1×π=0
Multiply the terms
More Steps
Multiply the terms
π×1×π
Rewrite the expression
π×π
Multiply the terms with the same base by adding their exponents
π1+1
Add the numbers
π2
π−ϕ−1−ϕ−π2=0
Subtract the terms
More Steps
Simplify
π−ϕ−1−ϕ
Subtract the terms
More Steps
Evaluate
−ϕ−ϕ
Collect like terms by calculating the sum or difference of their coefficients
(−1−1)ϕ
Subtract the numbers
−2ϕ
π−2ϕ−1
π−2ϕ−1−π2=0
Move the constant to the right-hand side and change its sign
−2ϕ=0−(π−1−π2)
Subtract the terms
More Steps
Evaluate
0−(π−1−π2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
0−π+1+π2
Removing 0 doesn't change the value,so remove it from the expression
−π+1+π2
−2ϕ=−π+1+π2
Change the signs on both sides of the equation
2ϕ=π−1−π2
Divide both sides
22ϕ=2π−1−π2
Solution
ϕ=2π−1−π2
Alternative Form
ϕ≈−3.864006
Show Solution