zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

solvefor x,x^2+y^2+z^2-4x+12y-14z+40=0

解答

求解

x, x^{2} + y^{2} + z^{2} - 4 x + 12 y - 14 z + 40 = 0

解答

x = 2 + - y^{2} - 12 y + 14 z - z^{2} - 36, x = 2 - - y^{2} - 12 y + 14 z - z^{2} - 36

求解步骤

x^{2} + y^{2} + z^{2} - 4 x + 12 y - 14 z + 40 = 0

改写成标准形式

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

x^{2} - 4 x + y^{2} + z^{2} + 12 y - 14 z + 40 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 1 \cdot ( y ^{2} + z ^{2} + 12 y - 14 z + 40 )}{2 \cdot 1}

化简

(- 4)^{2} - 4 \cdot 1 \cdot (y^{2} + z^{2} + 12 y - 14 z + 40) : 2 - y^{2} - 12 y + 14 z - z^{2} - 36

x_{1, 2} = \frac{- ( - 4 ) \pm 2 - y ^{2} - 12 y + 14 z - z ^{2} - 36}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 4 ) + 2 - y ^{2} - 12 y + 14 z - z ^{2} - 36}{2 \cdot 1}, x_{2} = \frac{- ( - 4 ) - 2 - y ^{2} - 12 y + 14 z - z ^{2} - 36}{2 \cdot 1}

x = \frac{- ( - 4 ) + 2 - y ^{2} - 12 y + 14 z - z ^{2} - 36}{2 \cdot 1} : 2 + - y^{2} - 12 y + 14 z - z^{2} - 36

x = \frac{- ( - 4 ) - 2 - y ^{2} - 12 y + 14 z - z ^{2} - 36}{2 \cdot 1} : 2 - - y^{2} - 12 y + 14 z - z^{2} - 36

二次方程组的解是:

x = 2 + - y^{2} - 12 y + 14 z - z^{2} - 36, x = 2 - - y^{2} - 12 y + 14 z - z^{2} - 36

作图

流行的例子

64x^2-(16a+4b)x+ab=0

64 x^{2} - (16 a + 4 b) x + ab = 0

14 + 3 h = 5 hh

solvefor y,x^2+5xy-4y^2=10

so l v e f or y, x^{2} + 5 x y - 4 y^{2} = 10

roo t s x^{2} - x - 1

x(x-3)=-6+3(x-1)

x (x - 3) = - 6 + 3 (x - 1)