SOLUTION: Please help solving the equation 12x2-6 = x will that result in 1 rational root, 2 rational roots or 2 irrational roots, I can't seem to figure this one out

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now work out where a = 12, b = -1 and c = -6

-->
--> 1 + 288
--> 289

if is zero --> 1 rational root
if is +ve --> 2 roots
--> if is a natural number then roots are rational
--> if remains a square root, then roots are irrational

Now, is 17 so we have rational roots.

Using the full Quadratic formula, we have:

and
so, x = 8/24 and x = -6/24
--> x = 1/3, x = -1/4

jon.