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受欢迎的代数 >

5x^2-10x^2=-7+x+x^2

解答

5 x^{2} - 10 x^{2} = - 7 + x + x^{2}

解答

x = 1, x = - \frac{7}{6}

+1

十进制

x = 1, x = - 1.16666 \dots

求解步骤

5 x^{2} - 10 x^{2} = - 7 + x + x^{2}

整理后得

- 5 x^{2} = - 7 + x + x^{2}

交换两边

- 7 + x + x^{2} = - 5 x^{2}

将

5 x^{2}

para o lado esquerdo

- 7 + x + 6 x^{2} = 0

改写成标准形式

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

6 x^{2} + x - 7 = 0

使用求根公式求解

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

1^{2} - 4 \cdot 6 (- 7) = 13

x_{1, 2} = \frac{- 1 \pm 13}{2 \cdot 6}

将解分隔开

x_{1} = \frac{- 1 + 13}{2 \cdot 6}, x_{2} = \frac{- 1 - 13}{2 \cdot 6}

x = \frac{- 1 + 13}{2 \cdot 6} : 1

x = \frac{- 1 - 13}{2 \cdot 6} : - \frac{7}{6}

二次方程组的解是:

x = 1, x = - \frac{7}{6}

作图

流行的例子

7 x^{2} - 14 x + 14 = 0

solvefor x,f^{-1}(x)=(x-3)^2

so l v e f or x, f^{- 1} (x) = (x - 3)^{2}

solvefor x,x^2y=0

so l v e f or x, x^{2} y = 0

3 x^{2} + 2 = 3 x

π x^{2} + 13 x + 1 = 0