Pertanyaan

Persamaan kuadrat x 2 + 2x − 10 = 0 memiliki akar-akar p dan q . Persamaan kuadrat baru yang akar-akarnya p 2 dan q 2 adalah . . .

Persamaan kuadrat x² + 2x − 10 = 0 memiliki akar-akar p dan q. Persamaan kuadrat baru yang akar-akarnya p² dan q² adalah . . .

x² − 24x − 100 = 0
x² + 24x + 100 = 0
x² − 24x + 100 = 0
x² + 24x − 100 = 0

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Klaim

F. Pratama

Master Teacher

Mahasiswa/Alumni Universitas Putra Indonesia YPTK Padang

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$begin mathsize 14px style Rumus space umum space persamaan space kuadrat space adalah space colon straight x squared minus open parentheses straight x subscript 1 plus straight x subscript 2 close parentheses straight x plus open parentheses straight x subscript 1 straight space. straight space straight x subscript 2 close parentheses equals 0 Persamaan space kuadrat space straight x squared space plus space 2 straight x space minus space 10 space equals space 0 memiliki space akar minus akar space straight p space dan space straight q. Akar minus akar space persamaan space kuadrat space baru space yaitu space straight x subscript 1 equals straight p squared space dan space straight x subscript 2 equals straight q squared comma space maka colon straight x squared minus open parentheses straight x subscript 1 plus straight x subscript 2 close parentheses straight x plus open parentheses straight x subscript 1 straight space. straight space straight x subscript 2 close parentheses equals 0 straight x squared minus open parentheses straight p squared plus straight q squared close parentheses straight x plus open parentheses straight p squared. straight q squared close parentheses equals 0 straight x squared minus open parentheses open parentheses straight p plus straight q close parentheses squared minus 2 pq close parentheses straight x plus open parentheses open parentheses straight p. straight q close parentheses squared close parentheses equals 0 straight x squared minus open parentheses open parentheses fraction numerator negative straight b over denominator straight a end fraction close parentheses squared minus 2 open parentheses straight c over straight a close parentheses close parentheses straight x plus open parentheses open parentheses straight c over straight a close parentheses squared close parentheses equals 0 straight x squared minus open parentheses open parentheses fraction numerator negative 2 over denominator 1 end fraction close parentheses squared minus 2 open parentheses fraction numerator negative 10 over denominator 1 end fraction close parentheses close parentheses straight x plus open parentheses open parentheses fraction numerator negative 10 over denominator 1 end fraction close parentheses squared close parentheses equals 0 straight x squared minus open parentheses 4 plus 20 close parentheses straight x plus 100 equals 0 straight x squared minus 24 straight x plus 100 equals 0 end style$