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人気のある代数 >

6x^2-40x+24=0,6y^2+100y-34=0

解

6 x^{2} - 40 x + 24 = 0, 6 y^{2} + 100 y - 34 = 0

解

x = \frac{2}{3}, x = \frac{2}{3}, x = 6, x = 6, y = \frac{1}{3} y = - 17 y = \frac{1}{3} y = - 17

解答ステップ

[6 x^{2} - 40 x + 24 = 0 6 y^{2} + 100 y - 34 = 0]

解く

6 x^{2} - 40 x + 24 = 0 : x = \frac{2}{3}, x = 6

6 y^{2} + 100 y - 34 = 0

では,

x

を

\frac{2}{3}

に置き換える:

y = \frac{1}{3}, y = - 17

6 y^{2} + 100 y - 34 = 0

では,

x

を

6

に置き換える:

y = \frac{1}{3}, y = - 17

解く

6 y^{2} + 100 y - 34 = 0 : y = \frac{1}{3}, y = - 17

6 x^{2} - 40 x + 24 = 0

では,

y

を

\frac{1}{3}

に置き換える:

x = 6, x = \frac{2}{3}

6 x^{2} - 40 x + 24 = 0

では,

y

を

- 17

に置き換える:

x = 6, x = \frac{2}{3}

元のequationに当てはめて解を検算する

ゆえに,

6 x^{2} - 40 x + 24 = 0, 6 y^{2} + 100 y - 34 = 0

の最終的な解は

x = \frac{2}{3}, x = \frac{2}{3}, x = 6, x = 6, y = \frac{1}{3} y = - 17 y = \frac{1}{3} y = - 17

グラフ

人気の例

x_{1}=((sqrt(5)))/3 ,x^2=((sqrt(5)))/5

x_{1} = \frac{( 5 )}{3}, x^{2} = \frac{( 5 )}{5}

2x-y=5,-2x+y=-5

2 x - y = 5, - 2 x + y = - 5

x=7-3y,x^2-y^2=39

x = 7 - 3 y, x^{2} - y^{2} = 39

2x-3y=7,(a+b)x-(a+b-3)y=4a+b

2 x - 3 y = 7, (a + b) x - (a + b - 3) y = 4 a + b

3a+2=3,b+4=3c+5

3 a + 2 = 3, b + 4 = 3 c + 5