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受欢迎的代数 >

2r^2-r+1=0

解答

2 r^{2} - r + 1 = 0

解答

r = \frac{1}{4} + i \frac{7}{4}, r = \frac{1}{4} - i \frac{7}{4}

求解步骤

2 r^{2} - r + 1 = 0

使用求根公式求解

r_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 2 \cdot 1}{2 \cdot 2}

化简

(- 1)^{2} - 4 \cdot 2 \cdot 1 : 7 i

r_{1, 2} = \frac{- ( - 1 ) \pm 7 i}{2 \cdot 2}

将解分隔开

r_{1} = \frac{- ( - 1 ) + 7 i}{2 \cdot 2}, r_{2} = \frac{- ( - 1 ) - 7 i}{2 \cdot 2}

r = \frac{- ( - 1 ) + 7 i}{2 \cdot 2} : \frac{1}{4} + i \frac{7}{4}

r = \frac{- ( - 1 ) - 7 i}{2 \cdot 2} : \frac{1}{4} - i \frac{7}{4}

二次方程组的解是:

r = \frac{1}{4} + i \frac{7}{4}, r = \frac{1}{4} - i \frac{7}{4}

作图

流行的例子

b^{2} + b - 20 = 0

solvefor x,3x^2-4xy+2y^2=17

so l v e f or x, 3 x^{2} - 4 x y + 2 y^{2} = 17

9 x^{2} - 7 = - 44

solvefor x,x^2+y^2-2x-20y+105=0

so l v e f or x, x^{2} + y^{2} - 2 x - 20 y + 105 = 0

x^{2} - 9 x + 32 = 0