Question

square root of 1+27÷169=1+x÷13, x=?

Answer 1

Step-by-step explanation:

Square both LHS and RHS which will lead to the below quadratic equation:

1+27/169=1+2x/13+x2/1691+27/169=1+2x/13+x2/169

Simplify the equation leading to the below equation:

x2+26x−27=0x2+26x−27=0

Solve the above equation and you will get 2 solutions:

-27 and 1

Now check if both the solutions for ‘x’ follows the basic maths rule.

Case 1: x=-27

RHS = -14/13

But since square root cannot return a negative number, this solution is invalid

Case 2: x=1

RHS = 14/13

This satisfies the basic maths rules and hence the final answer.

Hope this helps.