Question

√1+x/169 =14/13 , find the value of x. ​

Answer 1

Answer:

Step-by-step explanation:

Here, L.H.S is in square root, so to remove the square root, we square both the sides of the equation.

Therefore, 1+(x/169) = 14²/13²

Therefore, 1+(x/169) = 196/169

Therefore, x/169 = (196/169)-1

Therefore, x/169 = (196–169)/169 [L.C.M = 169]

Therefore, 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.

Thus, we are left with,

x=27