Which statement correctly interprets the solution(s) to the equation x2+5x+6=−3x2−2x ?
A. There are no input values that would yield the same output value on both sides of the equation.
B. An input of −2 will yield an output of 0 on both sides of the equation.
C. An input of −3 will yield an output of 0 on both sides of the equation.
D. An input of 0 will yield an output of 0 on both sides of the equation.
3 answers
B. An input of −2 will yield an output of 0 on both sides of the equation.
is this right
Apologies for the confusion. Let's solve the equation to find the correct answer.
Given equation: x^2 + 5x + 6 = -3x^2 - 2x
Combine like terms: x^2 + 3x^2 + 5x + 2x + 6 = 0
4x^2 + 7x + 6 = 0
To solve this quadratic equation, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
where a = 4, b = 7, and c = 6.
Calculating the discriminant:
b^2 - 4ac = 7^2 - 4*4*6
b^2 - 4ac = 49 - 96
b^2 - 4ac = -47
Since the discriminant is negative, the solutions will be complex numbers.
Therefore, none of the provided statement options correctly interprets the solution(s) to the equation x^2 + 5x + 6 = -3x^2 - 2x.
Given equation: x^2 + 5x + 6 = -3x^2 - 2x
Combine like terms: x^2 + 3x^2 + 5x + 2x + 6 = 0
4x^2 + 7x + 6 = 0
To solve this quadratic equation, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
where a = 4, b = 7, and c = 6.
Calculating the discriminant:
b^2 - 4ac = 7^2 - 4*4*6
b^2 - 4ac = 49 - 96
b^2 - 4ac = -47
Since the discriminant is negative, the solutions will be complex numbers.
Therefore, none of the provided statement options correctly interprets the solution(s) to the equation x^2 + 5x + 6 = -3x^2 - 2x.