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

Answer:

The solutions of the quadratic equation $49x^{2} =9$ are:

$x_{1} = \frac{3}{7}, x_{2} = \frac{-3}{7}$

Step-by-step explanation:

1. Divide both sides by 49, $\frac{49x^{2} }{49} = \frac{9}{49}$
2. Simplify $x^{2} = \frac{9}{49}$
3. For $x^{2} = f(b)$ the solutions are $x = \sqrt{f(b)} , -\sqrt{f(b)}$
4. So $x_{1} = \frac{\sqrt{9}}{\sqrt{49}}, x_{2} = -\frac{\sqrt{9}}{\sqrt{49}}$
5. The solutions are: $x_{1} = \frac{3}{7}, x_{2} = -\frac{3}{7}$