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受欢迎的代数 >

solvefor x,3x7-4x^2y+xy^3=25

解答

求解

x, 3 x 7 - 4 x^{2} y + x y^{3} = 25

解答

x = - \frac{- 21 - y ^{3} + ( 21 + y ^{3} ) ^{2} - 400 y}{8 y}, x = - \frac{- 21 - y ^{3} - ( 21 + y ^{3} ) ^{2} - 400 y}{8 y}; y \neq = 0

求解步骤

3 x \cdot 7 - 4 x^{2} y + x y^{3} = 25

展开

3 x \cdot 7 - 4 x^{2} y + x y^{3} : 21 x - 4 x^{2} y + x y^{3}

21 x - 4 x^{2} y + x y^{3} = 25

将

25

para o lado esquerdo

21 x - 4 x^{2} y + x y^{3} - 25 = 0

改写成标准形式

a x^{2} + b x + c = 0

- 4 y x^{2} + (21 + y^{3}) x - 25 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( 21 + y ^{3} ) \pm ( 21 + y ^{3} ) ^{2} - 4 ( - 4 y ) ( - 25 )}{2 ( - 4 y )}

化简

(21 + y^{3})^{2} - 4 (- 4 y) (- 25) : (21 + y^{3})^{2} - 400 y

x_{1, 2} = \frac{- ( 21 + y ^{3} ) \pm ( 21 + y ^{3} ) ^{2} - 400 y}{2 ( - 4 y )}; y \neq = 0

将解分隔开

x_{1} = \frac{- ( 21 + y ^{3} ) + ( 21 + y ^{3} ) ^{2} - 400 y}{2 ( - 4 y )}, x_{2} = \frac{- ( 21 + y ^{3} ) - ( 21 + y ^{3} ) ^{2} - 400 y}{2 ( - 4 y )}

x = \frac{- ( 21 + y ^{3} ) + ( 21 + y ^{3} ) ^{2} - 400 y}{2 ( - 4 y )} : - \frac{- 21 - y ^{3} + ( 21 + y ^{3} ) ^{2} - 400 y}{8 y}

x = \frac{- ( 21 + y ^{3} ) - ( 21 + y ^{3} ) ^{2} - 400 y}{2 ( - 4 y )} : - \frac{- 21 - y ^{3} - ( 21 + y ^{3} ) ^{2} - 400 y}{8 y}

二次方程组的解是:

x = - \frac{- 21 - y ^{3} + ( 21 + y ^{3} ) ^{2} - 400 y}{8 y}, x = - \frac{- 21 - y ^{3} - ( 21 + y ^{3} ) ^{2} - 400 y}{8 y}; y \neq = 0

作图

流行的例子

solvefor x,x^2-2(1+3p)x+7(3+2p)=0

so l v e f or x, x^{2} - 2 (1 + 3 p) x + 7 (3 + 2 p) = 0

log_{10}(9)(x^2-4x)=log_{10}(9)(3x-10)

lo g_{10} (9) (x^{2} - 4 x) = lo g_{10} (9) (3 x - 10)

3 n^{2} + 4 n + 4 = 0

b(c-a)x^2+c(a-b)x+a(b-c)=0

b (c - a) x^{2} + c (a - b) x + a (b - c) = 0

solvefor a,588=a^2*b

so l v e f or a, 588 = a^{2} \cdot b