Quadratic Systems

Practice Questions

Pre-Calculus › Quadratic Systems

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1

Find the intersection(s) of the two parabolas: ,

2

Find the intersection(s) of the two parabolas: ,

3

Find the points of intersection:

;

4

Find the points of intersection:

;

5

Which of the following could NOT be a possible number of solutions of a system of quadratic and linear equations?

6

Which of the following could NOT be a possible number of solutions of a system of quadratic and linear equations?

7

Give the coordinate pairs that satisfy the system of equations.

$\begin{matrix} y = 5x^2 - 10x + 6 \ y = 2x^2 + 9 x + 20 \end{matrix}$

8

Give the coordinate pairs that satisfy the system of equations.

$\begin{matrix} y = 5x^2 - 10x + 6 \ y = 2x^2 + 9 x + 20 \end{matrix}$

9

Find the coordinate pairs satisfying both polynomials:

$\begin{matrix} y = 4x^3 + 3x^2 -10x - 5 \ y = 4x^3 + 2x^2 -8x + 10 \end{matrix}$

10

Find the coordinate pairs satisfying both polynomials:

$\begin{matrix} y = 4x^3 + 3x^2 -10x - 5 \ y = 4x^3 + 2x^2 -8x + 10 \end{matrix}$

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