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
correct
c
b
d
b
I can't find a solution either.
To determine which of the given options is a solution to the quadratic equation x² + 14x + 112 = 0, you can use the quadratic formula. The quadratic formula is given by:
x = (-b ± √(b² - 4ac)) / (2a)
Comparing it to the equation x² + 14x + 112 = 0, we can see that a = 1, b = 14, and c = 112.
Substituting these values into the quadratic formula:
x = (-14 ± √(14² - 4(1)(112))) / (2(1))
x = (-14 ± √(196 - 448)) / 2
x = (-14 ± √(-252)) / 2
Since the term under the square root (√(-252)) is negative, it means that the quadratic equation x² + 14x + 112 = 0 does not have any real solutions. Therefore, the correct answer is option D: no solution.