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人気のある代数 >

2a^2=3,b+82b^2=3a+8a^2+b^2

解

2 a^{2} = 3, b + 82 b^{2} = 3 a + 8 a^{2} + b^{2}

解

a = - \frac{3}{2}, a = - \frac{3}{2}, a = \frac{3}{2}, a = \frac{3}{2}, b = \frac{- 1 + 3889 - 486 6}{162} b = \frac{- 1 - 3889 - 486 6}{162} b = \frac{- 1 + 3889 + 486 6}{162} b = \frac{- 1 - 3889 + 486 6}{162}

解答ステップ

[2 a^{2} = 3 b + 82 b^{2} = 3 a + 8 a^{2} + b^{2}]

解く

2 a^{2} = 3 : a = - \frac{3}{2}, a = \frac{3}{2}

b + 82 b^{2} = 3 a + 8 a^{2} + b^{2}

では,

a

を

- \frac{3}{2}

に置き換える:

b = \frac{- 1 + 3889 - 486 6}{162}, b = \frac{- 1 - 3889 - 486 6}{162}

b + 82 b^{2} = 3 a + 8 a^{2} + b^{2}

では,

a

を

\frac{3}{2}

に置き換える:

b = \frac{- 1 + 3889 + 486 6}{162}, b = \frac{- 1 - 3889 + 486 6}{162}

元のequationに当てはめて解を検算する

ゆえに,

2 a^{2} = 3, b + 82 b^{2} = 3 a + 8 a^{2} + b^{2}

の最終的な解は

a = - \frac{3}{2}, a = - \frac{3}{2}, a = \frac{3}{2}, a = \frac{3}{2}, b = \frac{- 1 + 3889 - 486 6}{162} b = \frac{- 1 - 3889 - 486 6}{162} b = \frac{- 1 + 3889 + 486 6}{162} b = \frac{- 1 - 3889 + 486 6}{162}

グラフ

人気の例

1x^2+7x+12=0,11*2y^2+17y+35=0

1 x^{2} + 7 x + 12 = 0, 11 \cdot 2 y^{2} + 17 y + 35 = 0

7x-2 y/x y=5,8x+7 y/x y=15

7 x - 2 \frac{y}{x} y = 5, 8 x + 7 \frac{y}{x} y = 15

3 x + y = 1, 3 x + y = 17

x + 2 y = 0, x + 2 y = 5

x^2+y^2=26,x+y=4

x^{2} + y^{2} = 26, x + y = 4