Simultaneous Equations (Edexcel A-Level Mathematics): Quizzes

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Quadratic Simultaneous Equations
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What defines a quadratic simultaneous equations system?

At least one equation is quadratic

What is the primary method for solving quadratic simultaneous equations?

Substitution

What is the first step when solving using substitution?

Substitute linear into quadratic

After substitution, how should the equation be rearranged?

Set equal to zero

What is the discriminant in the quadratic formula?

b24acb^2 - 4ac

What does a negative discriminant indicate?

Complex solutions

What does it mean when quadratic equation produces real roots?

Intersection points are real

When factorising x2+bx+c=0x^2 + bx + c = 0, what must the two numbers do?

Multiply to cc, add to bb

After finding xx-values, which equation is used to find yy?

The linear equation

How are solutions to the system expressed?

As coordinate pairs (x,y)(x, y)

What form should the quadratic take after rearranging?

ax2+bx+c=0ax^2 + bx + c = 0

When do the curves not intersect on the real plane?

When roots are complex

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