Question

: (2х+1)2 – 3(х–5)2=(х+3)(х–3)

решить уравнение

Answer 1

$(2x + 1 {)}^{2} - 3(x - 5 {)}^{2} =(x+3)(x - 3) \\ 4 {x}^{2} + 4x + 1 - 3( {x}^{2} - 10x + 25) = {x}^{2} - 3x + 3x - 9 \\ 4{x}^{2} + 4x + 1 - 3 {x}^{2} + 30x - 75 - {x}^{2} + 9 = 0 \\ 4 {x}^{2} + 34x - 65 - 4 {x}^{2} = 0 \\ 34x - 65 = 0 \\ 34x = 65 \\ x = \frac{65}{34} \\ x = 1 \frac{31}{34}$

Answer 2

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