Question

form three equations starting with x = -3​

Answer 1

Answer:

x three equations starting with x = -3

Answer 2

xa+θ+yb+θ+zc+θ=1−(θ−l)(θ−u)(θ−v)(a+θ)(b+θ)(c+θ)

then multiply the fourth equation by a+θ and then put a+θ=0

thus x=(a+l)(a+u)(a+v)(a−b)(a−c)

using symmetry we can write y and z also

i don't understand how can someone assume a fourth equation and then use it to get the solution .I could have even assumed xa+θ+yb+θ+zc+θ=1−12(θ−l)(θ−u)(θ−v)(a+θ)(b+θ)(c+θ) but that would give me wrong answer.x *