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受欢迎的代数 >

x^2= 2/3 (x+1)

解答

x^{2} = \frac{2}{3} (x + 1)

解答

x = \frac{1 + 7}{3}, x = \frac{1 - 7}{3}

+1

十进制

x = 1.21525 \dots, x = - 0.54858 \dots

求解步骤

x^{2} = \frac{2}{3} (x + 1)

在两边乘以

3

3 x^{2} = 2 (x + 1)

展开

2 (x + 1) : 2 x + 2

3 x^{2} = 2 x + 2

将

2

para o lado esquerdo

3 x^{2} - 2 = 2 x

将

2 x

para o lado esquerdo

3 x^{2} - 2 - 2 x = 0

改写成标准形式

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

3 x^{2} - 2 x - 2 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 3 ( - 2 )}{2 \cdot 3}

(- 2)^{2} - 4 \cdot 3 (- 2) = 27

x_{1, 2} = \frac{- ( - 2 ) \pm 2 7}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 2 ) + 2 7}{2 \cdot 3}, x_{2} = \frac{- ( - 2 ) - 2 7}{2 \cdot 3}

x = \frac{- ( - 2 ) + 2 7}{2 \cdot 3} : \frac{1 + 7}{3}

x = \frac{- ( - 2 ) - 2 7}{2 \cdot 3} : \frac{1 - 7}{3}

二次方程组的解是:

x = \frac{1 + 7}{3}, x = \frac{1 - 7}{3}

作图

流行的例子

4(ax^2-5x+3)=8x^2+bx+12

4 (a x^{2} - 5 x + 3) = 8 x^{2} + b x + 12

m^{2} + 2 m + 10 = 0

3 x + x^{2} - 1 = 0

2 x^{2} + 10 x + 7 = 0

因式分解 x^2-10x+16=0

f a c t or x^{2} - 10 x + 16 = 0