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受欢迎的代数 >

x^2-14x+48=-10

解答

x^{2} - 14 x + 48 = - 10

解答

x = 7 + 3 i, x = 7 - 3 i

求解步骤

x^{2} - 14 x + 48 = - 10

将

10

para o lado esquerdo

x^{2} - 14 x + 58 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 1 \cdot 58}{2 \cdot 1}

化简

(- 14)^{2} - 4 \cdot 1 \cdot 58 : 6 i

x_{1, 2} = \frac{- ( - 14 ) \pm 6 i}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 14 ) + 6 i}{2 \cdot 1}, x_{2} = \frac{- ( - 14 ) - 6 i}{2 \cdot 1}

x = \frac{- ( - 14 ) + 6 i}{2 \cdot 1} : 7 + 3 i

x = \frac{- ( - 14 ) - 6 i}{2 \cdot 1} : 7 - 3 i

二次方程组的解是:

x = 7 + 3 i, x = 7 - 3 i

作图

流行的例子

2 x^{2} + 14 x - 120 = 0

6 x^{2} = 3 x - 9

solvefor x,(x^2)/2+(y^2)/3+(z^2)/4 =1

so l v e f or x, \frac{x ^{2}}{2} + \frac{y ^{2}}{3} + \frac{z ^{2}}{4} = 1

x^{2} = e^{4}

s^{2} - 2 s - 2 = 0