Question

(x+2)^2 -(x-3)^2=12​

Answer 1

${(x + 2)}^{2} - {(x - 3)}^{2} = 12 \\ {x}^{2} + {2}^{2} + 2 \times 2 \times x - {x}^{2} + {3}^{2} - 2 \times 3 \times x = 12 \\ {x }^{2} + 4 + 4x - {x}^{2} + 9 - 6x = 12 \\ 13 - 2x = 12 \\ 13 - 12 = 2x \\ 2x = 1 \\ x = \frac{1}{2}$

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