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受欢迎的代数 >

solvefor x,g=x^2-x-2g(3)

解答

求解

x, g = x^{2} - x - 2 g (3)

解答

x = \frac{1 + 1 - 4 ( - 2 g ( 3 ) - g )}{2}, x = \frac{1 - 1 - 4 ( - 2 g ( 3 ) - g )}{2}

求解步骤

g = x^{2} - x - 2 g (3)

交换两边

x^{2} - x - 2 g (3) = g

将

g

para o lado esquerdo

x^{2} - x - 2 g (3) - g = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 1 \cdot ( - 2 g ( 3 ) - g )}{2 \cdot 1}

化简

(- 1)^{2} - 4 \cdot 1 \cdot (- 2 g (3) - g) : 1 - 4 (- 2 g (3) - g)

x_{1, 2} = \frac{- ( - 1 ) \pm 1 - 4 ( - 2 g ( 3 ) - g )}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 1 ) + 1 - 4 ( - 2 g ( 3 ) - g )}{2 \cdot 1}, x_{2} = \frac{- ( - 1 ) - 1 - 4 ( - 2 g ( 3 ) - g )}{2 \cdot 1}

x = \frac{- ( - 1 ) + 1 - 4 ( - 2 g ( 3 ) - g )}{2 \cdot 1} : \frac{1 + 1 - 4 ( - 2 g ( 3 ) - g )}{2}

x = \frac{- ( - 1 ) - 1 - 4 ( - 2 g ( 3 ) - g )}{2 \cdot 1} : \frac{1 - 1 - 4 ( - 2 g ( 3 ) - g )}{2}

二次方程组的解是:

x = \frac{1 + 1 - 4 ( - 2 g ( 3 ) - g )}{2}, x = \frac{1 - 1 - 4 ( - 2 g ( 3 ) - g )}{2}

作图

流行的例子

20 m^{2} + 7 m - 6 = 0

9 x = (0.5 x^{2}) + 40

solvefor x,f(x+4)=x^2+3x

so l v e f or x, f (x + 4) = x^{2} + 3 x

0 = 4.905 t^{2} + 5 t

solvefor a,a^2+1=b(b+1)

so l v e f or a, a^{2} + 1 = b (b + 1)