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受欢迎的代数 >

-(x-3)=(x-7/2)(x+3/4)

解答

- (x - 3) = (x - \frac{7}{2}) (x + \frac{3}{4})

解答

x = \frac{7 + 409}{8}, x = \frac{7 - 409}{8}

+1

十进制

x = 3.40296 \dots, x = - 1.65296 \dots

求解步骤

- (x - 3) = (x - \frac{7}{2}) (x + \frac{3}{4})

展开

- (x - 3) : - x + 3

展开

(x - \frac{7}{2}) (x + \frac{3}{4}) : x^{2} - \frac{11}{4} x - \frac{21}{8}

- x + 3 = x^{2} - \frac{11}{4} x - \frac{21}{8}

交换两边

x^{2} - \frac{11}{4} x - \frac{21}{8} = - x + 3

将

3

para o lado esquerdo

- \frac{45}{8} - \frac{11}{4} x + x^{2} = - x

将

x

para o lado esquerdo

x^{2} - \frac{7}{4} x - \frac{45}{8} = 0

改写成标准形式

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

x^{2} - \frac{7 x}{4} - \frac{45}{8} = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - \frac{7}{4} ) \pm ( - \frac{7}{4} ) ^{2} - 4 \cdot 1 \cdot ( - \frac{45}{8} )}{2 \cdot 1}

(- \frac{7}{4})^{2} - 4 \cdot 1 \cdot (- \frac{45}{8}) = \frac{409}{4}

x_{1, 2} = \frac{- ( - \frac{7}{4} ) \pm \frac{409}{4}}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - \frac{7}{4} ) + \frac{409}{4}}{2 \cdot 1}, x_{2} = \frac{- ( - \frac{7}{4} ) - \frac{409}{4}}{2 \cdot 1}

x = \frac{- ( - \frac{7}{4} ) + \frac{409}{4}}{2 \cdot 1} : \frac{7 + 409}{8}

x = \frac{- ( - \frac{7}{4} ) - \frac{409}{4}}{2 \cdot 1} : \frac{7 - 409}{8}

二次方程组的解是:

x = \frac{7 + 409}{8}, x = \frac{7 - 409}{8}

作图

流行的例子

4 x^{2} - 13 x - 35 = 0

solvefor x,(x^2+y^2-1)=x^2y^3

so l v e f or x, (x^{2} + y^{2} - 1) = x^{2} y^{3}

solvefor x,t(x)=18-24x+2x^2

so l v e f or x, t (x) = 18 - 24 x + 2 x^{2}

- x^{2} + 1 = x - 1

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