Suppose we wish to determine whether or not two given polynomials with complex coefficients have a common root. Given two first-degree polynomials a0 + a1x and b0 + b1x, we seek a single value of x such that
Solving each of these equations for x we get x = -a0/a1 and x = -b0/b1 respectively, so in order for both equations to be satisfied simultaneously we must have a0/a1 = b0/b1, which can also be written as a0b1 - a1b0 = 0. Formally we can regard this system as two linear equations in the two quantities x0 and x1, and write them in matrix form as
Hence a non-trivial solution requires the vanishing of the determinant of the coefficient matrix, which again gives a0b1 - a1b0 = 0.
Now consider two polynomials of degree 2. In this case we seek a single value of x such that
Hope this helped, Hope I did not make it to complated
Please give me Brainliest
Answer: This question is confusing because I can't come up with a whole answer because I don't see a way to get to it no matter how many different ways I try to solve it ;-; The closest I got was $267 with 10 tickets and the fee
Step-by-step explanation:
Answer: 34
Step-by-step explanation:
(3x + 10) = (x + 52)
3x - x = 52 - 10
2x = 42
x = 21
--
= x + 52 + 3x + 10
= 4x + 62
= 84 + 62
= 126
--
y = 180 - 126
= 34
<em>I hope this helped! :)</em>
Answer:
45
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
