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受欢迎的代数 >

3(x-1)^2=(2x+5)

解答

3 (x - 1)^{2} = (2 x + 5)

解答

x = \frac{4 + 22}{3}, x = \frac{4 - 22}{3}

+1

十进制

x = 2.89680 \dots, x = - 0.23013 \dots

求解步骤

3 (x - 1)^{2} = (2 x + 5)

展开

3 (x - 1)^{2} : 3 x^{2} - 6 x + 3

3 x^{2} - 6 x + 3 = 2 x + 5

将

5

para o lado esquerdo

3 x^{2} - 6 x - 2 = 2 x

将

2 x

para o lado esquerdo

3 x^{2} - 8 x - 2 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 3 ( - 2 )}{2 \cdot 3}

(- 8)^{2} - 4 \cdot 3 (- 2) = 222

x_{1, 2} = \frac{- ( - 8 ) \pm 2 22}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 8 ) + 2 22}{2 \cdot 3}, x_{2} = \frac{- ( - 8 ) - 2 22}{2 \cdot 3}

x = \frac{- ( - 8 ) + 2 22}{2 \cdot 3} : \frac{4 + 22}{3}

x = \frac{- ( - 8 ) - 2 22}{2 \cdot 3} : \frac{4 - 22}{3}

二次方程组的解是:

x = \frac{4 + 22}{3}, x = \frac{4 - 22}{3}

作图

流行的例子

q + \frac{5}{9} = \frac{1}{6}

化简 log_{4}(\sqrt[4]{4})

s im pl i f y lo g_{4} (44)

(x - 4) (x - 2) = - 1

化简 (4x^4)^2

s im pl i f y (4 x^{4})^{2}

4m-5(3m+10)=126

4 m - 5 (3 m + 10) = 126