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受欢迎的代数 >

4x^2=-10x-3

解答

4 x^{2} = - 10 x - 3

解答

x = \frac{- 5 + 13}{4}, x = - \frac{5 + 13}{4}

+1

十进制

x = - 0.34861 \dots, x = - 2.15138 \dots

求解步骤

4 x^{2} = - 10 x - 3

将

3

para o lado esquerdo

4 x^{2} + 3 = - 10 x

将

10 x

para o lado esquerdo

4 x^{2} + 3 + 10 x = 0

改写成标准形式

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

4 x^{2} + 10 x + 3 = 0

使用求根公式求解

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 4 \cdot 3}{2 \cdot 4}

1 0^{2} - 4 \cdot 4 \cdot 3 = 213

x_{1, 2} = \frac{- 10 \pm 2 13}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- 10 + 2 13}{2 \cdot 4}, x_{2} = \frac{- 10 - 2 13}{2 \cdot 4}

x = \frac{- 10 + 2 13}{2 \cdot 4} : \frac{- 5 + 13}{4}

x = \frac{- 10 - 2 13}{2 \cdot 4} : - \frac{5 + 13}{4}

二次方程组的解是:

x = \frac{- 5 + 13}{4}, x = - \frac{5 + 13}{4}

作图

流行的例子

completesquare x^2-2x+2=0

co m pl e t es q u a re x^{2} - 2 x + 2 = 0

(x - 3)^{2} = - 81

(x - 3)^{2} = - 6 x

completesquare 8x^2+32x-10=0

co m pl e t es q u a re 8 x^{2} + 32 x - 10 = 0

completesquare x^2-6x+18=0

co m pl e t es q u a re x^{2} - 6 x + 18 = 0