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受欢迎的代数 >

x^2=8x-35

解答

x^{2} = 8 x - 35

解答

x = 4 + 19 i, x = 4 - 19 i

求解步骤

x^{2} = 8 x - 35

将

35

para o lado esquerdo

x^{2} + 35 = 8 x

将

8 x

para o lado esquerdo

x^{2} + 35 - 8 x = 0

改写成标准形式

a x^{2} + b x + c = 0

x^{2} - 8 x + 35 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 1 \cdot 35}{2 \cdot 1}

化简

(- 8)^{2} - 4 \cdot 1 \cdot 35 : 219 i

x_{1, 2} = \frac{- ( - 8 ) \pm 2 19 i}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 8 ) + 2 19 i}{2 \cdot 1}, x_{2} = \frac{- ( - 8 ) - 2 19 i}{2 \cdot 1}

x = \frac{- ( - 8 ) + 2 19 i}{2 \cdot 1} : 4 + 19 i

x = \frac{- ( - 8 ) - 2 19 i}{2 \cdot 1} : 4 - 19 i

二次方程组的解是:

x = 4 + 19 i, x = 4 - 19 i

作图

流行的例子

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2 x^{2} - 16 x = 18

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

solvefor b,y^2-2xy+b^2=0

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