x² - 25 = 0
The left side is the difference of 2 squares, so we know right away, without any uncertainty or sweat, that it can be written as
(x + 5) (x - 5) ,
and we know that it's equal to zero when either factor is zero.
Now let's look at the choices:
A. X = -1 Not a chance.
B. X = -3 Also no.
C. X = -5 Yes that's good; that would make the first factor zero.
D. X = 5 Yes that's good too; it would make the second factor zero.
E. X = 3 Not true. Don't know how they came up with it.
F. X = 1 Equally not true.
x 2 − 25 = 0 x 2 = 0 + 25 x 2 = 25 x = ± 25 x = ± 5
correct alternatives : C , D
The equation 2 x 2 − 8 = 0 simplifies to x 2 = 4 , resulting in the solutions x = 2 and x = − 2 .
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