problem solving involving quadratic equation and rational
TRANSCRIPT
OBJECTIVE
SOLVE PROBLEMS INVOLVING QUADRATIC
EQUATIONS AND RATIONAL ALGEBRAIC EQUATIONS
REVIEWβ’WHAT IS THE FORMULA FOR THE AREA OF A RECTANGLE?
β’WHAT IS THE FORMULA FOR THE PERIMETER OF A
RECTANGLE?
β’WHICH IS LONGER THE LENGTH OR THE WIDTH?
β’WHAT IS THE FORMULA FOR THE SUM OF THE ROOTS? HOW
ABOUT FOR THE PRODUCT OF THE ROOTS?
REVIEW
β’π΄ = πππππ‘β β π€πππ‘β
β’π΄ = 2(πππππ‘β + π€πππ‘β)
β’OF COURSE THE WIDTH LENGTH
β’π₯1 + π₯2 = βπ
π
β’π₯1 β π₯2 =π
π
ACTIVITY
READ THE STORY.
KWENTO MO SA KAKLASE MONG NATUTULOG
KWENTO MO SA KAKLASE MONG NATUTULOG
NUONG TAONG ISANG LIBO ANIM NA DAAN LABING PITO,
APAT NA DAANG TAON NA ANG NAKALILIPAS NG SI ELPIDIO
AT ANG KANYANG ASAWANG SI
KWENTO MO SA KAKLASE MONG NATUTULOG
JENNY AY IPINAGPALIT ANG KANILANG SAMPUNG KALABAW
AT PITONG BABOY DAMO PARA SA LUPA NI ERNESTO
CANTIMBUHAN NA MATATAGPUAN SA PUROK NG WAKADI.
KWENTO MO SA KAKLASE MONG NATUTULOG
ANG LUPA NA KANILANG NAKUHA AY GAGAMITIN NILA UPANG
SILA AY MAGSAKA ITO AY MAY SUKAT (AREA) NA TATLONG
PUβT LIMA KUWADRADONG KAWAYAN.
KWENTO MO SA KAKLASE MONG NATUTULOG
NUONG PANAHONG IYON ANG PAGGAMIT NG METERSTICK O
ANUMANG STANDARD NA PANGSUKAT AY HINDI PA
NAKARARATING SA PILIPINAS
KWENTO MO SA KAKLASE MONG NATUTULOG
KUNG KAYA NAMAN KAWAYAN LAMANG ANG GAMIT NILA SA
KANILANG PAGSUKAT NG HABA (LENGTH) AT LAPAD (WIDTH)
NG KANILANG LUPA.
KWENTO MO SA KAKLASE MONG NATUTULOG
NUONG TAPOS NA SILA MAGSUKAT, NAPAGTANTO NILA NA
KAILANGAN NILA NG DALAWANG PUβT APAT NA KAWAYAN
UPANG BAKURAN ANG KANILANG LUPA.
TANONG O TALONG?
ANO ANG GAMIT NI ELPIDIO AT JENNY PARA SUKATIN ANG
LUPAIN NA NABILI?
TANONG O TALONG?
ANO ANG SUKAT NG KANILANG LUPA?
π΄ =35 KUWADRADONG KAWAYAN
WHAT IS THE FORMULA FOR THE AREA OF A RECTANGLE?
π΄ = πππππ‘β β (π€πππ‘β)
TANONG O TALONG?
KUNG ANG
π΄ =35 KUWADRADONG KAWAYAN
AT π΄ = πππππ‘β β π€πππ‘β
ANO NAMAN? πππππ‘β β π€πππ‘β = 35Takpan muna natin syempre
TANONG O TALONG?
ILANG KAWAYAN ANG KINAKAILANGAN UPANG BAKURAN ANG
CHICHARON NI MANG JUAN? LUPAIN NI ELPIDIO AT NI JENNY?
SAGOT: P=24 NA KAWAYAN
TANONG O TALONG?
WHAT IS THE FORMULA FOR THE PERIMETER OF A
RECTANGLE?
π = 2(πππππ‘β + π€πππ‘β)
TANONG O TALONG?
KUNG ANG
π = 24 NA KAWAYAN
AT π = 2 πππππ‘β + π€πππ‘β
ANO NAMAN? 2 πππππ‘β + π€πππ‘β = 24
πππππ‘β + π€πππ‘β = 12
Takpan muna natin syempre
Takpan muna natin syempre
TANONG O TALONG?
IF π₯1 IS THE LENGTH OF THE LOT AND π₯2 IS THE WIDTH OF
THE LOT, WHAT WILL BE THE SUM OF ROOTS? HOW ABOUT
THE PRODUCT OF THE ROOTS?
TANONG O TALONG?
12 = πππππ‘β + π€πππ‘β = π₯1 + π₯2 =βπ
π
35 = πππππ‘β β π€πππ‘β = π₯1 β π₯2 =π
π
π₯2 ββπ
ππ₯ +
π
π= 0
TANONG O TALONG?
WHAT WILL BE THE EQUATION?
π₯2 β 12π₯ + 35 = 0
TANONG O TALONG?
π₯2 β 12π₯ + 35 = 0
π₯ β 5 π₯ β 7 = 0
π β π = ππ = π
π β π = ππ = π
TANONG O TALONG?
ANO ANG EKSAKTONG HABA NG LUPA NI ELPIDIO AT JENNY?
ANO ANG EKSAKTONG LAPAD NG LUPA NI ELPIDIO AT JENNY?
THE TRUTH IS
THE AREA OF THE LOT IS THE CONSTANT TERM OF THE
QUADRATIC EQUATION WHILE THE NEGATIVE OF THE HALF OF
THE PERIMETER IS THE COEFFICIENT OF THE FIRST DEGREE
TERM. WITH THIS, WE CAN SOLVE THE RESULTING EQUATION
THAT IS IN ITS STANDARD FORM BY ANY APPROPRIATE
METHOD OF SOLVING QUADRATIC EQUATION.
EXERCISE AND QUIZ
MAKE AND SOLVE YOUR OWN STORY PROBLEM
SOLVING ABOUT QUADRATIC EQUATION.