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受欢迎的代数 >

solvefor x,x^2+5.35x+9.125=0

解答

x, x^{2} + 5.35 x + 9.125 = 0

解答

x = - \frac{107}{40} + i \frac{3151}{40}, x = - \frac{107}{40} - i \frac{3151}{40}

求解步骤

x^{2} + 5.35 x + 9.125 = 0

在两边乘以

1000

1000 x^{2} + 5350 x + 9125 = 0

使用求根公式求解

x_{1, 2} = \frac{- 5350 \pm 535 0 ^{2} - 4 \cdot 1000 \cdot 9125}{2 \cdot 1000}

化简

535 0^{2} - 4 \cdot 1000 \cdot 9125 : 503151 i

x_{1, 2} = \frac{- 5350 \pm 50 3151 i}{2 \cdot 1000}

将解分隔开

x_{1} = \frac{- 5350 + 50 3151 i}{2 \cdot 1000}, x_{2} = \frac{- 5350 - 50 3151 i}{2 \cdot 1000}

x = \frac{- 5350 + 50 3151 i}{2 \cdot 1000} : - \frac{107}{40} + i \frac{3151}{40}

x = \frac{- 5350 - 50 3151 i}{2 \cdot 1000} : - \frac{107}{40} - i \frac{3151}{40}

二次方程组的解是:

x = - \frac{107}{40} + i \frac{3151}{40}, x = - \frac{107}{40} - i \frac{3151}{40}

作图

流行的例子

x^{2} - 4 x + 25 = 0

x^{2} + 3 = - 2 x

24x^2-168x+240=0

24 x^{2} - 168 x + 240 = 0

solvefor x,(x+2y)^2=x+10

so l v e f or x, (x + 2 y)^{2} = x + 10

(x - \frac{1}{2})^{2} = 1