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受欢迎的代数 >

(4-3x)^2=x

解答

(4 - 3 x)^{2} = x

解答

x = \frac{16}{9}, x = 1

+1

十进制

x = 1.77777 \dots, x = 1

求解步骤

(4 - 3 x)^{2} = x

展开

(4 - 3 x)^{2} : 16 - 24 x + 9 x^{2}

16 - 24 x + 9 x^{2} = x

将

x

para o lado esquerdo

9 x^{2} - 25 x + 16 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 25 ) \pm ( - 25 ) ^{2} - 4 \cdot 9 \cdot 16}{2 \cdot 9}

(- 25)^{2} - 4 \cdot 9 \cdot 16 = 7

x_{1, 2} = \frac{- ( - 25 ) \pm 7}{2 \cdot 9}

将解分隔开

x_{1} = \frac{- ( - 25 ) + 7}{2 \cdot 9}, x_{2} = \frac{- ( - 25 ) - 7}{2 \cdot 9}

x = \frac{- ( - 25 ) + 7}{2 \cdot 9} : \frac{16}{9}

x = \frac{- ( - 25 ) - 7}{2 \cdot 9} : 1

二次方程组的解是:

x = \frac{16}{9}, x = 1

作图

流行的例子

9x(x-4)=2x(x-4)

9 x (x - 4) = 2 x (x - 4)

completesquare 4-x^2=5x

co m pl e t es q u a re 4 - x^{2} = 5 x

solvefor x,2x^2y=7

so l v e f or x, 2 x^{2} y = 7

x^{(2)}-13x+42=0

x^{(2)} - 13 x + 42 = 0

(4-2sqrt(2))x^2-1=0

(4 - 22) x^{2} - 1 = 0