Question

9(x +2)^2 = 4(x - 3)^2. solve by factorisation method​

Answer 1

Step-by-step explanation:

9(x^2+4+4x)=4(x^2+9-6x)

9x^2+36+36x=4x^2+36-24x

9x^2+36x=4x^2-24x

9x^2-4x^2+36x+24x=0

5x^2+60x=0

5x(x+12)=0

5x=0 , x+12=0

x=0, x=-12

Answer 2

Answer:

9(x+2)^2=4(x_3)^2

9(x^2+4x+4)=4(x^2_6x+9)

9x^2+36x+36=4x^2_24x+36

9x^2_4x^2=_24x_36x

5x^2=_60x

x^2=_60/5=_12

x=root_12

=_2root3