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人気のある代数 >

9y^2-45y+56=4,x^2-17y+18=0

解

9 y^{2} - 45 y + 56 = 4, x^{2} - 17 y + 18 = 0

解

x = \frac{17 ( 15 + 17 )}{6} - 18, x = - \frac{17 ( 15 + 17 )}{6} - 18, x = \frac{17 ( 15 - 17 )}{6} - 18, x = - \frac{17 ( 15 - 17 )}{6} - 18, y = \frac{15 + 17}{6} y = \frac{15 + 17}{6} y = \frac{15 - 17}{6} y = \frac{15 - 17}{6}

解答ステップ

[9 y^{2} - 45 y + 56 = 4 x^{2} - 17 y + 18 = 0]

解く

9 y^{2} - 45 y + 56 = 4 : y = \frac{15 + 17}{6}, y = \frac{15 - 17}{6}

y = \frac{15 + 17}{6}, y = \frac{15 - 17}{6}

の解を以下に当てはめる:

x^{2} - 17 y + 18 = 0

x^{2} - 17 y + 18 = 0

では,

y

を

\frac{15 + 17}{6}

に置き換える:

x = \frac{17 ( 15 + 17 )}{6} - 18, x = - \frac{17 ( 15 + 17 )}{6} - 18

x^{2} - 17 y + 18 = 0

では,

y

を

\frac{15 - 17}{6}

に置き換える:

x = \frac{17 ( 15 - 17 )}{6} - 18, x = - \frac{17 ( 15 - 17 )}{6} - 18

元のequationに当てはめて解を検算する

ゆえに,

9 y^{2} - 45 y + 56 = 4, x^{2} - 17 y + 18 = 0

の最終的な解は

x = \frac{17 ( 15 + 17 )}{6} - 18, x = - \frac{17 ( 15 + 17 )}{6} - 18, x = \frac{17 ( 15 - 17 )}{6} - 18, x = - \frac{17 ( 15 - 17 )}{6} - 18, y = \frac{15 + 17}{6} y = \frac{15 + 17}{6} y = \frac{15 - 17}{6} y = \frac{15 - 17}{6}

グラフ

人気の例

4 a + b = 6, 4 a + b = 1

b = 4 a, c = 5

x+2y=8,-x-2y=-8

x + 2 y = 8, - x - 2 y = - 8

xy^3=-108,(x+y)y=-3

x y^{3} = - 108, (x + y) y = - 3

x+y=425,x+y=309

x + y = 425, x + y = 309