First consider the auxiliary equation x2 - 4x - 12 = 0
This simplifies to (x + 2)(x - 6) = 0 which has root x = -2 and x = 6
Since the coefficient of x2 is positive, the inequality is satisfied between the roots that is, -2 < x < 6
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theta = 0 is the only solution.
0
It has no solutions because the discriminant of b2-4ac is less than zero
yes because - or negative is less than 0.
Solving for an inequality requires an additional step. First you solve as if for an equation, then you need to find which numbers give greater than and less than. The easy way to do this is to put in 0 for the variable and see where the values go greater or less. Example: What is the inequality table for 5x=20? when x=4 the equation balances. if x=0 then the left side is less than 20, so all numbers from 4 towards 0 are going to give "less than" values, so all numbers less than 4. The table is {x|(-∞,4),4,(4,∞)}■