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受欢迎的代数 >

x^2+15x=-57

解答

x^{2} + 15 x = - 57

解答

x = - \frac{15}{2} + i \frac{3}{2}, x = - \frac{15}{2} - i \frac{3}{2}

求解步骤

x^{2} + 15 x = - 57

将

57

para o lado esquerdo

x^{2} + 15 x + 57 = 0

使用求根公式求解

x_{1, 2} = \frac{- 15 \pm 1 5 ^{2} - 4 \cdot 1 \cdot 57}{2 \cdot 1}

化简

1 5^{2} - 4 \cdot 1 \cdot 57 : 3 i

x_{1, 2} = \frac{- 15 \pm 3 i}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 15 + 3 i}{2 \cdot 1}, x_{2} = \frac{- 15 - 3 i}{2 \cdot 1}

x = \frac{- 15 + 3 i}{2 \cdot 1} : - \frac{15}{2} + i \frac{3}{2}

x = \frac{- 15 - 3 i}{2 \cdot 1} : - \frac{15}{2} - i \frac{3}{2}

二次方程组的解是:

x = - \frac{15}{2} + i \frac{3}{2}, x = - \frac{15}{2} - i \frac{3}{2}

作图

流行的例子

5 y^{2} = - 25 y

x+32= 1/7 (x+7)(x-4)

x + 32 = \frac{1}{7} (x + 7) (x - 4)

- 1 x^{2} + 3 x - 10 = 0

-4=(5x^2*7)/(2(a+3))

- 4 = \frac{5 x ^{2} \cdot 7}{2 ( a + 3 )}

- (x - 5)^{2} + 25 = 0