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人気のある代数 >

solvefor y,5sqrt(xy)-2sqrt(y)-3sqrt(x)=0

解

解く

y, 5 x y - 2 y - 3 x = 0

解

y = \frac{9 x ( 25 x + 20 x + 4 )}{625 x ^{2} - 200 x + 16} {x = 0 or x > \frac{4}{25}}, y = \frac{9 x ( 25 x - 20 x + 4 )}{625 x ^{2} - 200 x + 16} {x = 0}

解答ステップ

5 x y - 2 y - 3 x = 0

平方根を削除する

625 y^{2} x^{2} - 450 y x^{2} - 200 y^{2} x + 81 x^{2} + 72 y x + 16 y^{2} = 144 y x

解く

625 y^{2} x^{2} - 450 y x^{2} - 200 y^{2} x + 81 x^{2} + 72 y x + 16 y^{2} = 144 y x : y = \frac{9 x ( 25 x + 20 x + 4 )}{625 x ^{2} - 200 x + 16}, y = \frac{9 x ( 25 x - 20 x + 4 )}{625 x ^{2} - 200 x + 16}

y = \frac{9 x ( 25 x + 20 x + 4 )}{625 x ^{2} - 200 x + 16}, y = \frac{9 x ( 25 x - 20 x + 4 )}{625 x ^{2} - 200 x + 16}

解を検算する:

y = \frac{9 x ( 25 x + 20 x + 4 )}{625 x ^{2} - 200 x + 16} {x = 0 or x > \frac{4}{25}}, y = \frac{9 x ( 25 x - 20 x + 4 )}{625 x ^{2} - 200 x + 16} {x = 0}

解答は

y = \frac{9 x ( 25 x + 20 x + 4 )}{625 x ^{2} - 200 x + 16} {x = 0 or x > \frac{4}{25}}, y = \frac{9 x ( 25 x - 20 x + 4 )}{625 x ^{2} - 200 x + 16} {x = 0}

グラフ

人気の例

\frac{2}{3} x^{- \frac{1}{3}} = 1

sqrt(x-1)+sqrt(x-7)=2sqrt(x-3)

x - 1 + x - 7 = 2 x - 3

x - 2 = x - 2

sqrt(9x+63)=x+7

9 x + 63 = x + 7

(5x-8)/(3x^{1/3)}=0

\frac{5 x - 8}{3 x ^{\frac{1}{3}}} = 0