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受欢迎的代数 >

9x^2+12x-6=x^2-7

解答

9 x^{2} + 12 x - 6 = x^{2} - 7

解答

x = \frac{- 3 + 7}{4}, x = - \frac{3 + 7}{4}

+1

十进制

x = - 0.08856 \dots, x = - 1.41143 \dots

求解步骤

9 x^{2} + 12 x - 6 = x^{2} - 7

将

7

para o lado esquerdo

9 x^{2} + 12 x + 1 = x^{2}

将

x^{2}

para o lado esquerdo

8 x^{2} + 12 x + 1 = 0

使用求根公式求解

x_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 \cdot 8 \cdot 1}{2 \cdot 8}

1 2^{2} - 4 \cdot 8 \cdot 1 = 47

x_{1, 2} = \frac{- 12 \pm 4 7}{2 \cdot 8}

将解分隔开

x_{1} = \frac{- 12 + 4 7}{2 \cdot 8}, x_{2} = \frac{- 12 - 4 7}{2 \cdot 8}

x = \frac{- 12 + 4 7}{2 \cdot 8} : \frac{- 3 + 7}{4}

x = \frac{- 12 - 4 7}{2 \cdot 8} : - \frac{3 + 7}{4}

二次方程组的解是:

x = \frac{- 3 + 7}{4}, x = - \frac{3 + 7}{4}

作图

流行的例子

G(x)=-3x^2+102x

G (x) = - 3 x^{2} + 102 x

y-5= 1/4 (y-3)^2

y - 5 = \frac{1}{4} (y - 3)^{2}

x^{2} + x + 8 = 5

9 x^{2} - 15 x + 8 = 0

x^2-1/(sqrt(2))x+1/4 =0

x^{2} - \frac{1}{2} x + \frac{1}{4} = 0