Question

16.
Remove the second term from the equation
x3 - 6x2 +11x – 6 = 0 and form the new equations.​

Answer 1

Answer:

x3−6x2+11x−6=0

Factor the expression

x3−x2−5x2+5x+6x=0

Factor the expression

x2×(x−1)−5x×(x−1)+6(x−1)=0

Write as a difference

(x−1)×(x2−5x+6)=0

Factor the expression

(x−2)×(x2−2x−3x+6)=0

Factor the expression

(x−2)×x(x−2)−3(x−2)=0

Split into possible cases

(x−1)×(x−2)×(x−3)=0

Solve the equations

x−1=0

x−2=0

x−3=0

Final solutions are

x=1

x=2

x=3

Or

x1=1,x2=2,x3=3

I hope it's help you