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受欢迎的代数 >

solvefor x,h=-x/2 (x-r)+2

解答

求解

x, h = - \frac{x}{2} (x - r) + 2

解答

x = - \frac{- r + r ^{2} + 4 ( 4 - 2 h )}{2}, x = - \frac{- r - r ^{2} + 4 ( 4 - 2 h )}{2}

求解步骤

h = - \frac{x}{2} (x - r) + 2

在两边乘以

2

2 h = - x (x - r) + 4

展开

- x (x - r) + 4 : - x^{2} + x r + 4

2 h = - x^{2} + x r + 4

交换两边

- x^{2} + x r + 4 = 2 h

将

2 h

para o lado esquerdo

- x^{2} + x r + 4 - 2 h = 0

改写成标准形式

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

- x^{2} + r x + 4 - 2 h = 0

使用求根公式求解

x_{1, 2} = \frac{- r \pm r ^{2} - 4 ( - 1 ) ( 4 - 2 h )}{2 ( - 1 )}

化简

r^{2} - 4 (- 1) (4 - 2 h) : r^{2} + 4 (4 - 2 h)

x_{1, 2} = \frac{- r \pm r ^{2} + 4 ( 4 - 2 h )}{2 ( - 1 )}

将解分隔开

x_{1} = \frac{- r + r ^{2} + 4 ( 4 - 2 h )}{2 ( - 1 )}, x_{2} = \frac{- r - r ^{2} + 4 ( 4 - 2 h )}{2 ( - 1 )}

x = \frac{- r + r ^{2} + 4 ( 4 - 2 h )}{2 ( - 1 )} : - \frac{- r + r ^{2} + 4 ( 4 - 2 h )}{2}

x = \frac{- r - r ^{2} + 4 ( 4 - 2 h )}{2 ( - 1 )} : - \frac{- r - r ^{2} + 4 ( 4 - 2 h )}{2}

二次方程组的解是:

x = - \frac{- r + r ^{2} + 4 ( 4 - 2 h )}{2}, x = - \frac{- r - r ^{2} + 4 ( 4 - 2 h )}{2}

作图

流行的例子

sqrt(a)x^2=2x+6

a x^{2} = 2 x + 6

x^2=72+36sqrt(3)

x^{2} = 72 + 363

solvefor y,y^2-4y+4=X-7

so l v e f or y, y^{2} - 4 y + 4 = X - 7

40 = 2 t + 2 t^{2}

x^{2} - 7 x - \frac{3}{4} = 0