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受欢迎的代数 >

2x^2=-8x-3

解答

2 x^{2} = - 8 x - 3

解答

x = \frac{- 4 + 10}{2}, x = - \frac{4 + 10}{2}

+1

十进制

x = - 0.41886 \dots, x = - 3.58113 \dots

求解步骤

2 x^{2} = - 8 x - 3

将

3

para o lado esquerdo

2 x^{2} + 3 = - 8 x

将

8 x

para o lado esquerdo

2 x^{2} + 3 + 8 x = 0

改写成标准形式

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

2 x^{2} + 8 x + 3 = 0

使用求根公式求解

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 2 \cdot 3}{2 \cdot 2}

8^{2} - 4 \cdot 2 \cdot 3 = 210

x_{1, 2} = \frac{- 8 \pm 2 10}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- 8 + 2 10}{2 \cdot 2}, x_{2} = \frac{- 8 - 2 10}{2 \cdot 2}

x = \frac{- 8 + 2 10}{2 \cdot 2} : \frac{- 4 + 10}{2}

x = \frac{- 8 - 2 10}{2 \cdot 2} : - \frac{4 + 10}{2}

二次方程组的解是:

x = \frac{- 4 + 10}{2}, x = - \frac{4 + 10}{2}

作图

流行的例子

x^{2} + 2 x + 80 = 0

(3+x)^2+(13+x^2)=256

(3 + x)^{2} + (13 + x^{2}) = 256

(3 x + 2) (x + 3) = 0

x^2-23.5x-1.75=0

x^{2} - 23.5 x - 1.75 = 0

x^2-9=0,(-3,-1,1,3)

x^{2} - 9 = 0, (- 3, - 1, 1, 3)