Question

x³-6x²+11x-6 =0 find value of 3x-4

Answer 1

Answer:

1) X=1, 2) X=2, 3) X=3

Step-by-step explanation:

Quadratic Equations (Solving solutions) [By Factoring]

x³ -6x² + 11x -6 =0

solve by Factoring:

so we have:

x³-x²-5x²+5x+6x-6=0 <---- Factoring x² from the expression

then,

x²(x-1)-5x(x-1)+6(x-1)=0 <----- Factoring x-1 from the expression

therefore,

(x-1) (x²-5x+6)=0 <------ Write -5x as a difference

so,

(x-1) (x²-2x-3x+6)=0

(x-1) (x(x-2)-3x+6)=0

(x-1) (x-2) (x-3)=0

when the product of factors equals to zero, atleast one factor is zero

x-1=0

x-2=0

x-3=0

Let us solve the equation for x

x=1

x-2=0

x-3=0

therefore,

x=1

x=2

x=3

Btw, the equation has three solutions