QUADRATIC EQUATION

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QUADRATIC EQUATION by Mind Map: QUADRATIC EQUATION

1. QUADRATIC EQUATION??

1.1. A QUADRATIC EQUATION IS AN EQUATION IN WHICH DEGREE IS 2. EG:- X^2

1.1.1. QUADRATIC

1.1.1.1. QUAD MEANS SQUARE

1.1.2. EQUATION

1.1.2.1. EQUATION MEANS EQUAL TO

2. CONDITONS TO BE A QUADRATIC EQUATION

2.1. It should be in the form of ax^2 + bx + c = 0 Egs: 2x^2- 6x + 4 = 0

2.2. Where a, b, c are real numbers

2.3. a≠ 0

3. WAYS TO REPRESENT A QUADRATIC EQUATION

3.1. STANDARD FORM

3.1.1. ax^2 + bx + c

3.1.1.1. here a, b, c are real numbers

3.1.1.2. a≠ 0

3.2. FACTORED FORM

3.2.1. (ax + c) (bx + d) = 0

3.3. VERTEX FORM

3.3.1. y = a (x + b)^2 + c

4. WAYS TO SOLVE IT

4.1. FACTORING METHOD

4.1.1. SPLITTING THE MIDDLE TERM

4.2. QUADRATIC EQUATION

4.2.1. -b ± \/ (b2 - 4ac) / 2a

4.3. GRAPHING

4.4. COMPLETING THE SQUARE

4.4.1. (a + b)^2 or (a - b)^2