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
I think it is D...?

1(C)=30.25

2(B)=x=-1
3(D)=No Solution
4(B)=8 inches

completing the square is very quick here

x² + 14x + 112 = 0
x² + 14x + 49 = -112 +49
(x + 7)^2 = - 63
x+7 = ± √-63 , which is not a real number.

so, you are correct!

Thank you

Correct for 2019 CA

thanks morgan (:

Thanks SO MUCH Morgan.

Also #2019Squad <----this needs to be a thing.

thank you morgan<3

c

b
d
b

To determine whether any of the options is a solution to the equation x² + 14x + 112 = 0, we can substitute the values given for x and check if the equation holds true.

Starting with option A, x = -0.24:
Substituting this value into the equation, we get (-0.24)² + 14(-0.24) + 112 = 0.
Simplifying this expression, we find that (-0.0576) - (3.36) + 112 = 0.
Calculating further, -0.0576 - 3.36 + 112 = 108.5824.
Since this value is not equal to zero, option A is not a solution to the equation.

Moving on, let's check option B, x = -4.24:
Substituting this value into the equation, we get (-4.24)² + 14(-4.24) + 112 = 0.
Simplifying the expression, we find that 17.9776 - 59.36 + 112 = 0.
Calculating further, 17.9776 - 59.36 + 112 = 70.6176.
Again, this value is not equal to zero, meaning that option B is not a solution to the equation.

Next, let's proceed to option C, x = 4.24:
Substituting this value into the equation, we get (4.24)² + 14(4.24) + 112 = 0.
Simplifying the expression, we find that 17.9776 + 59.36 + 112 = 0.
Calculating further, 17.9776 + 59.36 + 112 = 189.3376.
Once again, this value is not equal to zero, which means that option C is also not a solution to the equation.

Finally, we consider option D, which claims there is no solution. Since we have checked all the previous options and none of them were solutions, it is reasonable to conclude that option D, "no solution," is correct.

Therefore, the correct answer is D.