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受欢迎的代数 >

4x^2-8x+13=0

解答

4 x^{2} - 8 x + 13 = 0

解答

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

求解步骤

4 x^{2} - 8 x + 13 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 4 \cdot 13}{2 \cdot 4}

化简

(- 8)^{2} - 4 \cdot 4 \cdot 13 : 12 i

x_{1, 2} = \frac{- ( - 8 ) \pm 12 i}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- ( - 8 ) + 12 i}{2 \cdot 4}, x_{2} = \frac{- ( - 8 ) - 12 i}{2 \cdot 4}

x = \frac{- ( - 8 ) + 12 i}{2 \cdot 4} : 1 + i \frac{3}{2}

x = \frac{- ( - 8 ) - 12 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 (x + 1) = 306

z^{2} - 2 z - 1 = 0

4 x^{2} - 6 x + 7 = 0

solvefor x,2x^2+2xy+2y^2-2x-10y+11=0

so l v e f or x, 2 x^{2} + 2 x y + 2 y^{2} - 2 x - 10 y + 11 = 0

2 x (x - 3) = - 5