Question

Solve the equation.

(m + 3)(m - 4) = -6
Select one:
a. {-3, 4}
b. {-2, 3}
c. {2, -3}
d. {3, -4}

Answer 1

The equation (m + 3)(m - 4) = -6 can be solved by setting it to zero, expanding and factoring to get (m - 3)(m + 2) = 0, which gives the solutions m = 3 and m = -2. Therefore, the correct answer is option b. {-2, 3}.

Step-by-step explanation:

To solve the equation (m + 3)(m - 4) = -6, we can apply the quadratic formula or try to simplify and factor the equation directly. Let's set the equation to zero first by adding 6 to both sides:

(m + 3)(m - 4) + 6 = 0

Expanding the left side gives us:

m2 - 4m + 3m - 12 + 6 = 0

m2 - m - 6 = 0

In this form, we can now factor the quadratic:

(m - 3)(m + 2) = 0

Setting each factor equal to zero gives us the solutions:

• m - 3 = 0 → m = 3
• m + 2 = 0 → m = -2

So the solutions are m = 3 and m = -2, which means the correct answer is option b. {-2, 3}.

Answer 2

Step-by-step explanation:

m²-4m+3m-12=-6

m²=-6+12+m

m²=6+m

`\sqrt{m {}^(2) } = √(6 + m \\ )`