Question

Find the value of x if                    (x-2)(x-4) = ( x-4)(x-6)​

Answer 1

Answer:

4

Step-by-step explanation:

(x-2)(x-4) = (x-4)(x-6)

x(x-4)-2(x-4) = x(x-6)-4(x-6)

x²-4x-2x+8 = x²-6x-4x+24

-2x+8 = -6x+24

-2x+6x = 24-8

4x = 16

x = 16/4

x= 4

Answer 2

Answer:

$(x - 2)(x - 4) = (x - 4)(x - 6) \\ multiply \: the \: brakets \: \\ {x}^{2} - 4x - 2x + 8 = {x}^{2} - 6x - 4x + 24 \\ {x}^{2} - 6x + 8 = {x}^{2} - 10x + 24 \\ same \: terms \: nearer \\ {x}^{2} - {x}^{2} - 6x + 10x = 24 - 8 \\ 0 {x}^{2} + 4x = 16 \\ 4x = 16 \\ x = \frac{16}{4} \\ x = 4 \\ thank \: you$