The solution of are 1 + 2i and 1 – 2i
Solution:
Given, equation is
We have to find the roots of the given quadratic equation
Now, let us use the quadratic formula
--- (1)
Let us determine the nature of roots:
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
Answer:
H=44
C=87
Step-by-step explanation:
1.8 (C) + 3.00 (H) = 288.6
C= 2H-1
1.8 (2H-1) + 3 (H) = 288.6
3.6 H -1.8 + 3 H = 288.6
6.6 H = 290.4
H= 290.4/6.6 = 44
C=87
Answer:
11.5
Step-by-step explanation:
98.9 / 8.6 = 11.5
The cost for being late is $2.75 because 11 divided by four is 2.75
Cross multiply.
75 / x = 25 / 35
25x = 35(75)
25x = 2625
/25 /25
x = 105
Therefore 105 students liked skating.
Proof:
105 + 35 = 140.
140 * 0.75 = 105
140 * 0.25 = 35
140 (total) split into quarters.
35 + 35 + 35 + 35 = 140
35 + 35 + 35 = 105 (3 quarters liked)
35 = 35 (1 quarter disliked)