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Solving Equations with Variables on Both Sides

Solve the fol...

Question

Solve the following equation:
$\sqrt{x + 2} - \sqrt{2 x - 3} = \sqrt{4 x - 7}$

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Solution

Consider the domains of functions
$x > - 2, x > \frac{3}{2}, x > \frac{7}{4}$
By trial and error method put $x = 2$
Equation is Satisfied...

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Solving Equations with Variables on Both Sides

Standard VIII Mathematics

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