Question

x2 - (x + 2)(x - 2) /x-3=1/2​

Answer 1

SOLUTION

TO SOLVE

$\displaystyle \sf \frac{ {x}^{2} - (x + 2)(x - 2)}{x - 3} = \frac{1}{2}$

EVALUATION

Here the given equation is

$\displaystyle \sf \frac{ {x}^{2} - (x + 2)(x - 2)}{x - 3} = \frac{1}{2}$

We find the value of x as below

$\displaystyle \sf \frac{ {x}^{2} - (x + 2)(x - 2)}{x - 3} = \frac{1}{2}$

$\displaystyle \sf \implies \: \frac{ {x}^{2} - ( {x}^{2} - {2}^{2} )}{x - 3} = \frac{1}{2}$

$\displaystyle \sf \implies \: \frac{ {x}^{2} - ( {x}^{2} - 4 )}{x - 3} = \frac{1}{2}$

$\displaystyle \sf \implies \: \frac{ {x}^{2} - {x}^{2} + 4}{x - 3} = \frac{1}{2}$

$\displaystyle \sf \implies \: \frac{ 4}{x - 3} = \frac{1}{2}$

$\displaystyle \sf \implies \:x - 3 = 8$

$\displaystyle \sf \implies \:x = 3 + 8$

$\displaystyle \sf \implies \:x = 11$

FINAL ANSWER

Hence the required value of x = 11

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Answer 2

Answer:

X=11

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