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
The increase in miles would be 11 miles
Answer:
38units²
Step-by-step explanation:
10*3=30 + 4*2=8
got 4 cuz 6+x=10 then x=4
got 2 cuz 5-3=x so x=2
Answer:
trucks: 8, cars: 18
Step-by-step explanation:
Answer:
n = 109/ 5 if the expression is 5n - 5.3 = 56
