3.
Which of the following is a solution of x² + 14x + 112 = 0? If necessary, round to the nearest hundredth.
A.) x = –0.24
B.) x = –4.24
C.) 4.24
*D.) no solution
Thank you
C
C
B
D
B
c
b
d
b
sorry too many c's
That would be no solution or D.
Algebra Student is correct for the four questions on Connections!
Thanks Algebra Student you were right
To find the solution(s) of the quadratic equation x² + 14x + 112 = 0, you can use the quadratic formula. The quadratic formula states that the solutions of a quadratic equation ax² + bx + c = 0 can be found using the following formula:
x = (-b ± √(b² - 4ac)) / (2a)
In this case, a = 1, b = 14, and c = 112. Plugging in these values into the formula, we get:
x = (-(14) ± √((14)² - 4(1)(112))) / (2(1))
Simplifying further:
x = (-14 ± √(196 - 448)) / 2
x = (-14 ± √(-252)) / 2
Since the square root of a negative number is not a real number, there are no real solutions to this equation. Therefore, the correct answer is option D, "no solution."