What are the solutions of the quadratic function 49x2=9

49x² = 9

Divide both sides by 49:

x² = 9/49

Take the square root of both sides:

x = + / - √9/49

Simplify:

x = - 3/7 and 3/7

49x^2 - 9 = 0As there is no x term, we can pretty much guess we have a situation where we factlrise by something known aa difference of two squares, so to factorise it:49 = 7^29 = 3^2x^2 = (x) ^2so ... (7x - 3) (7x + 3) = 07x - 3 = 0 7x + 3 = 0x = 3/7 x = - 3/7