In a binomial experiment, the outcome of each trial will depend on the ones before it.
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1
Move everything to the left by subtracting 25 from both sides:
Both terms are squares: is the square of
, while 25 is the square of 5. So, we can apply the factoring
To factor the expression as
A multiplication is zero if and only if one of the factors is zero, so we have
2
The discriminant of the quadratic expression is defined as
So, you have
3
Similarly, we have