KOLEKSI SIRI PERTAMA QUANTUM COOL-ACTIVE: MATHEMATICS SIMPLIFIED : FROM BASICS TO BRILLIANCE

푎x² + 푏x + 푐 = 0

where,

highest degree is 2 ,

a ≠ 0 ,

a, b, c are constant, and

푥 ∈ ℝ is a variable.

SummarySummary

KeypointsKeypoints NotesNotes

QUADRATIC EQUATIONQUADRATIC EQUATION

DEFINITION OF QUADRATIC EQUATION

Quadratic equation can be defined as a polynomial

equation of a second degree or the highest degree

of any variable is 2.

GENERAL FORM OF QUADRATIC EQUATION

A quadratic can be

represented as a

product of linear

expressions.

Factorization method

Completing the square

Quadratic formula

Methods of solving quadratic equation

SOR: SUM OF ROOTS

POR: PRODUCT OF

ROOTS

REMEMBER

• baca

SOR: - b/a

POR: c/a

TYPE OF ROOTS

Two different real roots

Two equal real roots

no real roots

FORM QUADRATIC EQ FROM GIVEN ROOTS

In quadratic equations, the graph of a quadratic function is a U-shaped

curve called a parabola. The vertex is the extreme point on the graph. A

quadratic equation has at most two solutions. If there is only one

solution, it is called a double root. If all the coefficients are real

numbers, then there are either two real solutions, one real double root,

or two complex solutions