Any equation of the form
or which can be converted into form
where a, b, c are real numbers and
is a Quadratic Equation. Such a form of quadratic equation is called standard form. For example, we have equation
. It is a quadratic equation.
If
, it would not remain quadratic equation and will become linear equation instead. Therefore, value of a should not be equal to 0.
- In Quadratic Equation
Can you determine values of a, b and c by comparing it with standard form
?
When we compare it with the standard form, we get a=3, b=5 and c =6.
- If you are given any equation, Can you determine if it is a quadratic equation?
Equation is quadratic only if it is present in the standard form
or if it can be converted into form
.
Is
quadratic equation?
Yes, because it can be written as
which is same as the standard form
. Value of a=1, b=5 and c=-8.
Is
quadratic equation?
Yes, because it can be converted into standard form.
which is the standard form.
Is
quadratic equation?
No, because it cannot be converted into standard form
.
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