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受欢迎的代数 >

solvefor x,h=x^2+3nx+81n^2+1

解答

求解

x, h = x^{2} + 3 n x + 81 n^{2} + 1

解答

x = \frac{- 3 n + - 315 n ^{2} - 4 + 4 h}{2}, x = \frac{- 3 n - - 315 n ^{2} - 4 + 4 h}{2}

求解步骤

h = x^{2} + 3 n x + 81 n^{2} + 1

交换两边

x^{2} + 3 n x + 81 n^{2} + 1 = h

将

h

para o lado esquerdo

x^{2} + 3 n x + 81 n^{2} + 1 - h = 0

使用求根公式求解

x_{1, 2} = \frac{- 3 n \pm ( 3 n ) ^{2} - 4 \cdot 1 \cdot ( 81 n ^{2} + 1 - h )}{2 \cdot 1}

化简

(3 n)^{2} - 4 \cdot 1 \cdot (81 n^{2} + 1 - h) : - 315 n^{2} - 4 + 4 h

x_{1, 2} = \frac{- 3 n \pm - 315 n ^{2} - 4 + 4 h}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 3 n + - 315 n ^{2} - 4 + 4 h}{2 \cdot 1}, x_{2} = \frac{- 3 n - - 315 n ^{2} - 4 + 4 h}{2 \cdot 1}

x = \frac{- 3 n + - 315 n ^{2} - 4 + 4 h}{2 \cdot 1} : \frac{- 3 n + - 315 n ^{2} - 4 + 4 h}{2}

x = \frac{- 3 n - - 315 n ^{2} - 4 + 4 h}{2 \cdot 1} : \frac{- 3 n - - 315 n ^{2} - 4 + 4 h}{2}

二次方程组的解是:

x = \frac{- 3 n + - 315 n ^{2} - 4 + 4 h}{2}, x = \frac{- 3 n - - 315 n ^{2} - 4 + 4 h}{2}

作图

流行的例子

3 x^{2} + 12 x - 15 x = 0

- x^{2} + 11 x - 10 = 0

(w + 7) (w - 2) = 0

solvefor y,x=4y^2

so l v e f or y, x = 4 y^{2}

(2 x + 1)^{2} = 36