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受欢迎的代数 >

4x^2+8x=-7

解答

4 x^{2} + 8 x = - 7

解答

x = - 1 + i \frac{3}{2}, x = - 1 - i \frac{3}{2}

求解步骤

4 x^{2} + 8 x = - 7

将

7

para o lado esquerdo

4 x^{2} + 8 x + 7 = 0

使用求根公式求解

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

化简

8^{2} - 4 \cdot 4 \cdot 7 : 43 i

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

将解分隔开

x_{1} = \frac{- 8 + 4 3 i}{2 \cdot 4}, x_{2} = \frac{- 8 - 4 3 i}{2 \cdot 4}

x = \frac{- 8 + 4 3 i}{2 \cdot 4} : - 1 + i \frac{3}{2}

x = \frac{- 8 - 4 3 i}{2 \cdot 4} : - 1 - i \frac{3}{2}

二次方程组的解是:

x = - 1 + i \frac{3}{2}, x = - 1 - i \frac{3}{2}

作图

流行的例子

x^{2} + 10 x - 40 = 4 x

A=(2x+3)^2-(2x-3)^2+(3x-4)^2-8x^2-16

A = (2 x + 3)^{2} - (2 x - 3)^{2} + (3 x - 4)^{2} - 8 x^{2} - 16

(5-x)(x+2)=2-3(2-x)

(5 - x) (x + 2) = 2 - 3 (2 - x)

x^{2} + 6 x - 41 = 6 x - 5

x^{2} + 2 x - 16 = 2 x