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受欢迎的代数 >

1x^2+6x=9

解答

1 x^{2} + 6 x = 9

解答

x = 3 (2 - 1), x = - 3 (1 + 2)

+1

十进制

x = 1.24264 \dots, x = - 7.24264 \dots

求解步骤

1 \cdot x^{2} + 6 x = 9

整理后得

x^{2} + 6 x = 9

将

9

para o lado esquerdo

x^{2} + 6 x - 9 = 0

使用求根公式求解

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 1 \cdot ( - 9 )}{2 \cdot 1}

6^{2} - 4 \cdot 1 \cdot (- 9) = 62

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

将解分隔开

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

x = \frac{- 6 + 6 2}{2 \cdot 1} : 3 (2 - 1)

x = \frac{- 6 - 6 2}{2 \cdot 1} : - 3 (1 + 2)

二次方程组的解是:

x = 3 (2 - 1), x = - 3 (1 + 2)

作图

流行的例子

solvefor y,18y^2=(x-4)*(x-10)^2

so l v e f or y, 18 y^{2} = (x - 4) \cdot (x - 10)^{2}

7 x^{2} - 12 x + 18 = 0

a^2*(x-b)-b^2*(x-a)=x^2(a-b)

a^{2} \cdot (x - b) - b^{2} \cdot (x - a) = x^{2} (a - b)

solvefor x,6x^2-xy-12y^2-8x+29y-14=0

so l v e f or x, 6 x^{2} - x y - 12 y^{2} - 8 x + 29 y - 14 = 0

x^2+3=3sqrt(11)

x^{2} + 3 = 311