The solution of
are 1 + 2i and 1 – 2i
<u>Solution:</u>
Given, equation is 
We have to find the roots of the given quadratic equation
Now, let us use the quadratic formula
--- (1)
<em><u>Let us determine the nature of roots:</u></em>
Here in
a = 1 ; b = -2 ; c = 5

Since
, the roots obtained will be complex conjugates.
Now plug in values in eqn 1, we get,

On solving we get,



we know that square root of -1 is "i" which is a complex number

Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i
Step-by-step explanation:
2/2-10X-28=
2×2/2-2×10X-2×28=
2-20X-56=
6=6/6=1.
X-7=X-7
A. 2X+4=
2X/2+4/2=
x+2
B. 6=6/6=1.
C. 12X+24=
12X/12+24/12=
X+2.
6X=6X/6=X
Triangle WHA and WCT are similar, so corresponding parts are similar to one another. In particular,
WH / WC = WA / WT = HA / CT
which means
WH / WC = WA / WT
2 / (2 + (x - 1)) = 3 / (3 + (x + 1))
Solve for x :
2 / (1 + x) = 3 / (4 + x)
2 (4 + x) = 3 (1 + x)
8 + 2x = 3 + 3x
5 = x
and also
WH / WC = HA / CT
2 / (1 + x) = y / 12
2 / (1 + 5) = y / 12
2 / 6 = y / 12
y = 4
The answer is 4320 cubic inches