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TGAU Mathemateg Datrys Problemau Algebra Haen Uwch

TGAU Mathemateg Datrys Problemau Algebra Haen Uwch. Mae’r gromlin y = x 2 +2x - 15 yn croestorri’r echelin x wrth y pwyntiau A a B. Darganfyddwch hyd y llinell AB?. I ddarganfod hyd AB mae angen gwybod cyfesurynnau A a B.

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TGAU Mathemateg Datrys Problemau Algebra Haen Uwch

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  1. TGAU Mathemateg DatrysProblemau Algebra HaenUwch

  2. Mae’rgromlin y = x2 +2x - 15yncroestorri’rechelin x wrth y pwyntiau A a B. Darganfyddwchhyd y llinell AB? • I ddarganfodhyd AB maeangengwybodcyfesurynnau A a B • Nesaf, ystyriwchsutiddarganfodcyfesurynnau A a B • Pan fo’rgromlinyncroestorri’rechelin x mae y = 0. • Felly, • 0 = x2 +2x - 15 • Datryswch yr hafaliadcwadratigymaiddarganfodgwerthoedd x sy’nbodloni’rhafaliad.

  3. 0 = x2 +2x - 15 • I ddatrys yr hafaliadymabyddangenffactorio • x2 +2x - 15 • Pa ddaudermsyddynlluosiiwneud x2 ? • ( )( ) • x • + 5 • x • - 3 • Pa ddaurifsyddynlluosiiwneud -15 ac ynadioiroi • 2? • x – 15 • 1 x – 15 • -1 x 15 • 3 x -5 • -3 x 5 • Adio + 2 • -14 • 14 • -2 • 2

  4. 0 = (x + 5)(x – 3) • felly, • x + 5 = 0 neu x – 3 = 0 • Dyma’rgwerthoeddargyfercyfesurynnau ‘x’ y pwyntiau A a B. Cyfesurynnau ‘y’ y ddaubwyntyw ‘0’ • Os yw • x + 5 = 0 ynamae x = -5 • Os yw • x - 3 = 0 ynamae x = 3 • A ( -5, 0) B(3, 0) • Gwnewchfrasluno’rgromlin y = x2 +2x – 15 i’chhelpudarganfodhyd y llinell AB

  5. Mae’rddaubwyntyngorweddar yr echelinx, felly gwelwno’rbraslunbod y pellterrhwng y pwyntiau (-5,0) a (3,0) ynhafali’rgwahaniaethrhwng y cyfesurynnau x. Felly, mae AB ynhafali 8 uned.

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