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যদি $\left(a-5\right)\left(a+x\right)=x^2-25$ হয়, তবে $x$ এর মান কত?

Options :

  • (A) $2$
  • (B) $3$
  • (C) $4$
  • (D) $5$

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Best answer
Given,
$\left(a-5\right)\left(a+x\right)=x^2-25$

Or, $\left(a-5\right)\left(a+x\right)=x^2-5^2$

Or, $\left(a-5\right)\left(a+x\right)=\left(a+5\right)\left(a-5\right)$

Or, $\cancel{\left(a-5\right)}\left(a+x\right)=\left(a+5\right)\cancel{\left(a-5\right)}$

Or, $\left(a+x\right)=\left(a+5\right)$

Or, $x=a+5-a$

$\therefore x=5$

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