Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
c4(1−c−c2)
Evaluate
c4−c5−c6
Rewrite the expression
c4−c4×c−c4×c2
Solution
c4(1−c−c2)
Show Solution
Find the roots
c1=−21+5,c2=0,c3=2−1+5
Alternative Form
c1≈−1.618034,c2=0,c3≈0.618034
Evaluate
c4−c5−c6
To find the roots of the expression,set the expression equal to 0
c4−c5−c6=0
Factor the expression
c4(1−c−c2)=0
Separate the equation into 2 possible cases
c4=01−c−c2=0
The only way a power can be 0 is when the base equals 0
c=01−c−c2=0
Solve the equation
More Steps
Evaluate
1−c−c2=0
Rewrite in standard form
−c2−c+1=0
Multiply both sides
c2+c−1=0
Substitute a=1,b=1 and c=−1 into the quadratic formula c=2a−b±b2−4ac
c=2−1±12−4(−1)
Simplify the expression
More Steps
Evaluate
12−4(−1)
1 raised to any power equals to 1
1−4(−1)
Simplify
1−(−4)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
1+4
Add the numbers
5
c=2−1±5
Separate the equation into 2 possible cases
c=2−1+5c=2−1−5
Use b−a=−ba=−ba to rewrite the fraction
c=2−1+5c=−21+5
c=0c=2−1+5c=−21+5
Solution
c1=−21+5,c2=0,c3=2−1+5
Alternative Form
c1≈−1.618034,c2=0,c3≈0.618034
Show Solution