Solution of the equation (x + 10) + (x - 2) = 6 are - Vidyadip

MCQ

Solution of the equation $\sqrt {(x + 10)} + \sqrt {(x - 2)} = 6$ are

A
$0$
✓
$6$
C
$4$
D
None of these

✓

Answer

Correct option: B.

$6$

b
(b) $\sqrt {x + 10} + \sqrt {x - 2} = 6$$ \Rightarrow $$\sqrt {x + 10} = 6 - \sqrt {x - 2} $

$ \Rightarrow $ $x + 10 = 36 + x - 2 - 12\sqrt {x - 2} $

$ \Rightarrow $ $2 = \sqrt {x - 2} $ $ \Rightarrow $ $4 = x - 2$ $ \Rightarrow $ $x = - 6$

This value satisfies the given equation.

$\therefore x=6$.

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