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受欢迎的 Geometry >

solvefor x,10w(x)^2=7x+6

解答

求解

x, 10 w (x)^{2} = 7 x + 6

解答

x = \frac{7 + 49 + 240 w}{20 w}, x = \frac{7 - 49 + 240 w}{20 w}; w \neq = 0

求解步骤

10 w x^{2} = 7 x + 6

将

6

para o lado esquerdo

10 w x^{2} - 6 = 7 x

将

7 x

para o lado esquerdo

10 w x^{2} - 6 - 7 x = 0

改写成标准形式

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

10 w x^{2} - 7 x - 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 10 w ( - 6 )}{2 \cdot 10 w}

化简

(- 7)^{2} - 4 \cdot 10 w (- 6) : 49 + 240 w

x_{1, 2} = \frac{- ( - 7 ) \pm 49 + 240 w}{2 \cdot 10 w}; w \neq = 0

将解分隔开

x_{1} = \frac{- ( - 7 ) + 49 + 240 w}{2 \cdot 10 w}, x_{2} = \frac{- ( - 7 ) - 49 + 240 w}{2 \cdot 10 w}

x = \frac{- ( - 7 ) + 49 + 240 w}{2 \cdot 10 w} : \frac{7 + 49 + 240 w}{20 w}

x = \frac{- ( - 7 ) - 49 + 240 w}{2 \cdot 10 w} : \frac{7 - 49 + 240 w}{20 w}

二次方程组的解是:

x = \frac{7 + 49 + 240 w}{20 w}, x = \frac{7 - 49 + 240 w}{20 w}; w \neq = 0

作图

流行的例子

3 x - 2 y = x^{2} + 1

2f(x)=2x^2+3x-4

2 f (x) = 2 x^{2} + 3 x - 4

(x + 2)^{2} = 8 y - 24

2 x = y^{2} + 8 y + 22

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