Question

If a nonlinear system of equations contains one linear function that never touches the quadratic function, then the system has which of the following? No solution One solution Two solutions Infinitely many solutions

Answer 1

A nonlinear system of equation is a system of equation that has at list one nonlinear equation

A nonlinear system of equations that has one linear function that never intersects the quadratic function has; No solution

The reason the option selected for the number of solutions is correct is as follows;

Required:

The number of solutions a system of nonlinear equations that do not intersect have

Solution:

The given system of equation is presented as follows;

Linear function: f(x) = m·x + c

Quadratic function: f(x) = a·x² + b·x + c

Given that the linear function never touches the quadratic function, we have;

a·x² + b·x + c ≠ m·x + c

Therefore, the equations are never equal hand they have no common solution

Therefore, the correct option is No solution

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