X^2 - 2X - 48 = 0
what two factors of - 48 add up to - 2 ?
(X + 6)(X - 8)
X = - 6
---------
X = 8
---------by inspection can solve many quadratics
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If the discriminant of b2-4ac of the quadratic equation is greater the 0 then it will have 2 solutions.
The discriminant is 36 which means the quadratic equation has two solutions which are 5 and -1
If the discriminant of a quadratic equation is less then 0 then it will have no real solutions.
There are no real solutions because the discriminant of the quadratic equation is less than zero.
Without an equality sign the given expression can't be considered to be an equation but if it equals 0 then using the quadratic equation formula will give its solutions.