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: A
Step-by-step explanation:
-12 is made positive so the equation is turned to 12-3 which is 9
Answer:
C
Step-by-step explanation:
First, factor the original expression:
As we can see, D is the same as above. Eliminate D.
Go through each of the answer choices.
A:
This is equivalent to what we factored. Eliminate A.
B:
This is again equivalent to what we factored. Eliminate B.
C:
This cannot be simplified and it is not equivalent to what we have previously. C is not the equivalent expression.
The directions of travel are at right angles to each other, so the Pythagorean theorem can be used to find the straight-line distance to the starting point. That distance (d) satisfies ...
d² = 65² +102²
d = √(4225 +10404) = √14629 ≈ 120.95
The appropriate choice is ...
... c. 121 miles
