Answer:
<h2>x =
-2+i√5 and -2i-√5</h2>
Step-by-step explanation:
The general form of a quadratic equation is ax²+bx+c = 0
Given the quadratic equation x²+4x+9=0 in its standard form, on comparing with the general equation we can get the value of the constant a, b and c as shown;
ax² = x²
a = 1
bx = 4x
b = 4
c = 9
The quadratic formula is given as x = -b±√(b²-4ac)/2a
Substituting the constant;
x = -4±√(4²-4(1)(9))/2(1)
x = -4 ±√(16-36)/2
x = -4±√-20/2
x = -4±(√-1*√20)/2
Note that √-1 = i
x = -4±(i√4*5)/2
x = (-4±i2√5)/2
x = -4/2±i2√5/2
x = -2±i√5
The solution to the quadratic equation are -2+i√5 and -2i-√5
Answer:

Step-by-step explanation:

Side z is the adjacent, since it is next to the angle you are solving for.
Side x is the opposite, since it is opposite the angle you are solving for.
The side measuring 14 is the hypotenuse, since it is across from the right angle.

Answer: 14.4
Step-by-step explanation:
x:8.3 = 11.6:6.7
x = 11.6:6.7*8.3 = 14.4
Answer:
78
Step-by-step explanation:
you divide the amos number is give you
Answer:
1 10/12
Step-by-step explanation:
So you would do 2x6+5 which is 17/6 then plus 1/2 x 5/6 which is 5/12 then 17/6 + 5/6 = 22/12 then divide 22 by 12 and get 1 then leftover 10 so 1 10/12.