Question

(x - 1)(x + 6) - (x - 2)(x - 3) = 3​

Answer 1

Step-by-step explanation:

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

then,

⇒ x2 + 6x - x - 6 - {x2- 3x - 2x + 6} = 3

⇒ x2 + 5x - 6 - x2 + 5x - 6 = 3

⇒10x - 12 = 3

⇒10x = 15

⇒ x = 15/10

∴x = 3/2

Answer 2

Answer:

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

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

x^2 + 6x - x - 6 - x^2 + 3x + 2x - 6 = 3

x^2 - x^2 + 6x - x + 3x + 2x - 6 - 6 = 3

10x - 12 = 3

10x = 3 + 12

x = 15/10

x = 3/2

So, the answer is 3/2

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