If a nonlinear system of equations contains one linear function that never touches the quadratic function, then the system has w

Question

2 years ago

13

hich of the following? No solution One solution Two solutions Infinitely many solutions

1 answer:

aivan3 [116] · Answer 1 · 2023-01-12T04:04:08+03:00

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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