Question

What are the solutions of the quadratic equation 49x^2 = 9?

x =1/9 and x = -1/9
x =3/7 and x = -3/7
x =3/4 and x = -3/4
x = 9/49 and x = -9/49

Answer 1

option 2 ..follow bedmas and do opposite operation by taking the furthest element to the other side

Answer 2

The solutions of the quadratic equation
`49x^(2) =9` are:

`x_(1) = (3)/(7), x_(2) = (-3)/(7)`

Explanation:

1. Divide both sides by 49,
   `(49x^(2) )/(49) = (9)/(49)`
2. Simplify
   `x^(2) = (9)/(49)`
3. For
   `x^(2) = f(b)` the solutions are
   `x = √(f(b)) , -√(f(b))`
4. So
   `x_(1) = (√(9))/(√(49)), x_(2) = -(√(9))/(√(49))`
5. The solutions are:
   `x_(1) = (3)/(7), x_(2) = -(3)/(7)`