```Mrs. Evany B. Colobong
At the end of the session, the
students should be able to:
a. Write a quadratic equation in standard
form;
c. Appreciate the importance of quadratic
equations.
οProduct of
π
π
Powers
π β π = ππ+π
οPowers of
π
οQuotient
π
οPowers
of Powers
ππ
Product
= ππ ππ
of Quotient
π
π
π
π
π
π−π
=
π
= π
π
π
π
π
οPower of Powers
π π
ππ
(π ) = π
Simplify the following.
1.
2.
3.
4.
5.
4
6
βπ₯
2 3
π₯
=
4 5
3π π β 4π π =
3
2
π π
=
ππ
2 5
π π =
2
3
3π₯ π¦
π§5
3
=
Solve for the product of the
following.
1.
2.
3.
4.
5.
2
3(π₯ + 7)
2π (π  − 4)
2
3 − 4π
(π₯ + 9)(π₯ − 2)
(2π‘ − 1)(π‘ + 5)
π
π
π − ππ + π = π
π = πππ
π − ππ = ππ
ππ + ππ = −π
π
π
π − ππ + π
ππ − ππ = π
π = πππ − π
ππ − π = ππ
Which of the following is a linear equation?
π
π − ππ + π = π
π
π − ππ + π
π
π = πππ
π
ππ − ππ = π
οA
Variable
is
a
mathematical
sentence of degree 2 that can be
written in the following standard
2
form ππ₯ + ππ₯ + π = 0, where π, π
and π are real numbers and π ≠ 0.
οIn
2
ππ₯
the equation,
is the
quadratic term, ππ₯ is the linear
term, and π is the constant term.
Examples:
2
ο 2π₯ − 6π₯ − 15 = 0
ο 2π₯ π₯ − 4 = 18
ο π₯−3 π₯+1 =4
EQUATION
VALUES
STANDARD FORM OF π, π
and π
π=π
πππ − ππ − ππ = π πππ − ππ − ππ = π π = −π
π = −ππ
π=π
ππ π − π = ππ
πππ − ππ − ππ = π π = −8
π = −π8
π=π
π − π π + π = π ππ − ππ − π = π π = −π
π = −π
TERM
LINEAR
TERM
CONSTANT
TERM
πππ
−ππ
−ππ
πππ
−ππ
−ππ
ππ
−ππ
−π
Tell whether each equation is QUARATIC or
1.
2.
3.
4.
5.
2
π₯
+ 7π₯ + 12 = 0
−3π₯ π₯ + 5 = 0
12 − 4π₯ = 0
π₯ + 7 π₯ − 7 = 3π₯
2π₯ + π₯ + 4 = π₯ − 3 + (π₯ − 3)
Write each equation in standard form then
identify the values of π, π and π.
1.
2.
3.
4.
5.
2
2π₯
+ 5π₯ − 3 = 0
2
3 − 2π₯ = 7
π₯ 4π₯ + 6 = 28
3π₯ − 7 5π₯ + 2 = 0
2
−3π₯ + 5π₯ = 7
```