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人気のある代数 >

4y^2-34y+289=0,x^2=6

解

4 y^{2} - 34 y + 289 = 0, x^{2} = 6

解

x = - 6, x = - 6, x = 6, x = 6, y = \frac{17}{4} + i \frac{17 3}{4} y = \frac{17}{4} - i \frac{17 3}{4} y = \frac{17}{4} + i \frac{17 3}{4} y = \frac{17}{4} - i \frac{17 3}{4}

解答ステップ

[4 y^{2} - 34 y + 289 = 0 x^{2} = 6]

解く

x^{2} = 6 : x = - 6, x = 6

4 y^{2} - 34 y + 289 = 0

では,

x

を

- 6

に置き換える:

y = \frac{17}{4} + i \frac{17 3}{4}, y = \frac{17}{4} - i \frac{17 3}{4}

4 y^{2} - 34 y + 289 = 0

では,

x

を

6

に置き換える:

y = \frac{17}{4} + i \frac{17 3}{4}, y = \frac{17}{4} - i \frac{17 3}{4}

元のequationに当てはめて解を検算する

ゆえに,

4 y^{2} - 34 y + 289 = 0, x^{2} = 6

の最終的な解は

x = - 6, x = - 6, x = 6, x = 6, y = \frac{17}{4} + i \frac{17 3}{4} y = \frac{17}{4} - i \frac{17 3}{4} y = \frac{17}{4} + i \frac{17 3}{4} y = \frac{17}{4} - i \frac{17 3}{4}

グラフ

人気の例

x^2+y^2-12x+26=0,((x^2))/2-y^2= 7/2

x^{2} + y^{2} - 12 x + 26 = 0, \frac{( x ^{2} )}{2} - y^{2} = \frac{7}{2}

35x^2-12x+1=0,20y^2-14y+2=0

35 x^{2} - 12 x + 1 = 0, 20 y^{2} - 14 y + 2 = 0

y^{2} x - 7 y = 10, x = 6

5 x/6-y/4 =-2,3r+2n=3

5 \frac{x}{6} - \frac{y}{4} = - 2, 3 r + 2 n = 3

a=(81)/(3^3)-xy,b=2^3-xy

a = \frac{81}{3 ^{3}} - x y, b = 2^{3} - x y