(x+4)(x-9)=0
I need help because I have tried all the answers as this a multiple choice question.
a)
(x+4)(x-9)
(4+4)(-9-9)
(8)(-18)
-144
b)
(x+4)(x-9)
(4+4)(9-9)
(8)(0)
0
c)
(x+4)(x-9)
(-4+4)(9-9)
(-8)(0)
0
d)
(x+4)(x-9)
(-4+4)(-9-9)
(0)(-18)
0
The whole setup is bogus
I'd go with (c), since it correctly notes that the solutions are -4 and 9.
But -4+4 is (0), not (-8)
If this is a proposed way to solve for zeroes, it's really stupid. x cannot be both -4 and 9 at the same time.
Run far, run fast from this course!!!
To find the correct answer, we need to solve the given equation:
(x + 4)(x - 9) = 0
The equation is set to zero, which means one or both of the factors must be equal to zero. Let's set each factor equal to zero and solve for x:
First factor: x + 4 = 0
Subtracting 4 from both sides: x = -4
Second factor: x - 9 = 0
Adding 9 to both sides: x = 9
So, the two potential solutions to the equation are x = -4 and x = 9.
Now, we can check each option in the multiple-choice question to see which one satisfies the equation.
a) (x + 4)(x - 9) = (-4 + 4)(-9 - 9) = (0)(-18) = 0
b) (x + 4)(x - 9) = (4 + 4)(9 - 9) = (8)(0) = 0
c) (x + 4)(x - 9) = (-4 + 4)(9 - 9) = (0)(0) = 0
d) (x + 4)(x - 9) = (-4 + 4)(-9 - 9) = (0)(-18) = 0
Therefore, options b), c), and d) all satisfy the equation and have a product of 0. Only option a) has a product of -144, which means it does not satisfy the equation.
So, the correct answer is: b), c), and d)