Question

(x-3)(x-5)-(x-4)(x-6)=3

Answer 1

Answer:

X=6

Step-by-step explanation:

$(x - 3)(x - 5) - (x - 4)(x - 6) = 3 \\ \\ \therefore \: ( {x}^{2} - 8x + 15) - ( {x}^{2} - 10x + 24) = 3 \\ \\ \therefore \: {x}^{2} - 8x + 15 - {x}^{2} + 10x - 24 = 3 \\ \\ \therefore \: {x}^{2} - {x}^{2} - 8x + 10x + 15 - 24 - 3 = 0 \\ \\ \therefore \: 0 + 2x - 12 = 0 \\ \\ \therefore \: 2x = 12 \\ \\ \therefore \: x = \frac{12}{2} \\ \\ \therefore \: x = 6$

Answer 2

Solution:

(x-3) (x-5) -(x-4) (x-6) =3

x(x-5) -3(x-5) -(x-4) (x-6) =3

x²-5x-3x+15-(x-4) (x-6) =3

x²-8x+15-x(x-6) -4(x-6) =3

x²-8x+15-x²+6x-4x+24=3

x²-8x+15-x²+2x+24=3

-6x+39=3

-6x=3-39

-6x= -36

x= -36/-6

x= 36/6

x=6