Question

Find the root of the following equation by using formula
ii) x square - 5x +6=0

Answer 1

6,1

Step-by-step explanation:

x^-5x+6=0

x^-6x+x+6=0

x(x-6)-1(x-6)=0

(x-6)(x-1)=0

x-6=0,x-1=0

x=6,x=1

Answer 2

Answer:

${x}^{2} - 5x + 6 = 0 \\ = > {x}^{2} - 2x - 3x + 6 = 0 \\ = > x(x - 2) - 3(x - 2) = 0 \\ = >( x - 2) (x - 3) = 0 \\ \\ \\ x - 2 = 0 \\ = > x =2 \\ \\ \\ x - 3 = 0 \\ = > x = 3$

Hence the roots are 2 and 3.