Answer:
b. {-9, 3}.
Step-by-step explanation:
x^2 + 6x - 27 = 0
We need 2 numbers whose product is -27 and whose sum is + 6.
These are + 9 and - 3. So the factors are:
(x - 3)(x + 9) = 0
(x - 3) = 0 or (x + 9) = 0
x = 3 or -9.
Answer: option b is the correct answer.
The given quadratic equation is expressed as
x^2+6x-27=0
In order to solve the equation by factorization, the first step is to find two numbers such that their sum or difference is 6x and their product is
- 27x^2. The two numbers are 9x and - 3x. Therefore,
x^2 + 9x - 3x - 27 = 0
x(x + 9) - 3(x + 9) = 0
x - 3 = 0 or x + 9 = 0
x = 3 or x = - 9
Answer: (-9, -3)
A = (-3, -1)
A' = (-3, -1)*3 = (-9, -3)
image
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