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Which is a solution to [tex]\((x-3)(x+9)=-27\)[/tex]?

A. [tex]\(x=-9\)[/tex]
B. [tex]\(x=-3\)[/tex]
C. [tex]\(x=0\)[/tex]
D. [tex]\(x=6\)[/tex]

Sagot :

GinnyAnswer
To determine which of the given values of [tex]\( x \)[/tex] satisfy the equation [tex]\((x-3)(x+9) = -27\)[/tex], we substitute each value into the equation and check:

1. Substitute [tex]\( x = -9 \)[/tex]:
[tex]\[ (x-3)(x+9) = (-9-3)(-9+9) = (-12)(0) = 0 \][/tex]
This does not satisfy the equation [tex]\((x-3)(x+9) = -27\)[/tex].

2. Substitute [tex]\( x = -3 \)[/tex]:
[tex]\[ (x-3)(x+9) = (-3-3)(-3+9) = (-6)(6) = -36 \][/tex]
This does not satisfy the equation [tex]\((x-3)(x+9) = -27\)[/tex].

3. Substitute [tex]\( x = 0 \)[/tex]:
[tex]\[ (x-3)(x+9) = (0-3)(0+9) = (-3)(9) = -27 \][/tex]
This satisfies the equation [tex]\((x-3)(x+9) = -27\)[/tex].

4. Substitute [tex]\( x = 6 \)[/tex]:
[tex]\[ (x-3)(x+9) = (6-3)(6+9) = (3)(15) = 45 \][/tex]
This does not satisfy the equation [tex]\((x-3)(x+9) = -27\)[/tex].

Hence, the solution to the equation [tex]\((x-3)(x+9) = -27\)[/tex] among the given options is:
- [tex]\( x = 0 \)[/tex]
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