Question

$\sqrt{1 + \frac{x}{169} } = \frac{14}{15 }$
x = ?​

Answer 1

Answer

• 1+(x/169) = 14²/13²
• 1+(x/169) = 196/169
• x/169 = (196/169)-1
• x/169 = (196–169)/169 [L.C.M = 169]
• x/169 = 27/169

Now, cross-multiplying,

x=(169 * 27)/169

169 in numerator and denominator can be cancelled off as it is in multiplication.

169 in numerator and denominator can be cancelled off as it is in multiplication.Thus, we are left with,

x=27