Solving equations
Qudaratic equations of the type:
[quadratic function] = [constant]
The task Quadratic equations of the type [vertex form]=[constant]
focused on equations with a quadratic function expressed in
the vertex form on one side and a constant function on the other side.
The present task focuses on quadratic equations of a more general form:
one side of the equation is a quadratic function, not
necessarily in vertex form; the other side
is a constant function.
Convert these equations into equations of
the type [vertex form]=[constant].
|
|
|
Investigate equations of the type:
[quadratic function]=[constant]
|
|
Convert each of the equations in the table below into
the type [vertex form]=[constant].
|
|
|
Find the number of solutions of each equation, and
their values.
|
|
|
|
solutions
|
same equation, expressed as:
[vertex form]=[constant]
|
equation of the type:
[quadratic function]=[constant]
|
| |
|
x²+(x+4)²=10 |
| |
|
x²+(x+4)²=9 |
| |
|
x²+(x+4)²=8 |
| |
|
x²+(x+4)²=7 |
| |
|
x(x-4)=5 |
| |
|
x(x-4)=4
|
| |
|
x(x-4)=-4
|
| |
|
x(x-4)=-5
|
|
|
|
