A classmate is solving a system of equations where one equat

A classmate is solving a system of equations where one equation is a quadratic and the other is linear. Which could not be the number of solutions the classmate found?

a) 3

b) 2

c) 1

d) 0

Solution

degree of quadratic equation is 2, as the maximum exponent on x in any quadratic equation ax^2+bx+c=2

and the degree of linear equation is 1, as the maximum exponent on x in any leanear equation is 1.

so if we want to solve to solve the system of equations, in which one is linear and another is quadratic, then the maximum number of solutions, which we can get is 2.

means, either we will get 0, 0r 1 or 2 solutions.

hence, we can\'t get 3 solution in any case.

thus, A option is correct.