{ x 2 + y 2 = 25 2 x + y = 10 { x 2 + y 2 = 25 y = 10 − 2 x { x 2 + ( 10 − 2 x ) 2 = 25 y = 10 − 2 x { x 2 + 100 − 40 x + 4 x 2 = 25 y = 10 − 2 x { 5 x 2 − 40 x + 75 = 0 y = 10 − 2 x
{ x 2 − 8 x + 15 = 0 y = 10 − 2 x { Δ = ( − 8 ) 2 − 4 ∗ 1 ∗ 15 = 64 − 60 = 4 ; Δ = 2 y = 10 − 2 x { x 1 = 2 8 − 2 = 3 ∧ x 2 = 2 8 + 2 = 5 y = 10 − 2 ∗ 3 = 4 ∧ y = 10 − 2 ∗ 5 = 0
The solution set for the system of equations is {(3, 4), (5, 0)}. This was found by substituting one equation into the other and solving the resulting quadratic equation. Finally, the corresponding y-values were calculated for each x-value found.
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Jawab:Penjelasan dengan langkah-langkah:Ani dan Endang meneliti tentang pertumbuhan populsi. Bela dan Dina meneliti tentang infeksi penyakit. Citra dan Fina meneliti