What is the product of the solutions to the equation: x2+4x=-4
a. 80
b. -80
c. -20
d. 4
(I NEED TO KNOW WHO TO GET THE ANSWER PLEASE)
MS.SUE!
x^2 + 4x + 4 = 0
(x+2)(x+2) = 0
the two solutions are -2 and -2, so their product is 4
In fact, for any quadratic
ax^2 + bx + c = 0
the product of the solutions is c/a, so you don't even need to find what the roots are.
To find the product of the solutions to the equation x^2 + 4x = -4, we need to first solve the equation to find the values of x.
Step 1: Set the equation equal to 0 by adding 4 to both sides:
x^2 + 4x + 4 = 0
Step 2: Factor the equation:
(x + 2)(x + 2) = 0
Step 3: Set each factor equal to zero and solve for x:
x + 2 = 0
x = -2
Step 4: Find the product of the solutions, which is -2 * -2 = 4.
Thus, the correct answer is d. 4.