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受欢迎的代数 >

2(12+2x)-((3x-2)^2)/5 =20

解答

2 (12 + 2 x) - \frac{( 3 x - 2 ) ^{2}}{5} = 20

解答

x = - \frac{4}{9}, x = 4

+1

十进制

x = - 0.44444 \dots, x = 4

求解步骤

2 (12 + 2 x) - \frac{( 3 x - 2 ) ^{2}}{5} = 20

在两边乘以

5

10 (12 + 2 x) - (3 x - 2)^{2} = 100

展开

10 (12 + 2 x) - (3 x - 2)^{2} : - 9 x^{2} + 32 x + 116

- 9 x^{2} + 32 x + 116 = 100

将

100

para o lado esquerdo

- 9 x^{2} + 32 x + 16 = 0

使用求根公式求解

x_{1, 2} = \frac{- 32 \pm 3 2 ^{2} - 4 ( - 9 ) \cdot 16}{2 ( - 9 )}

3 2^{2} - 4 (- 9) \cdot 16 = 40

x_{1, 2} = \frac{- 32 \pm 40}{2 ( - 9 )}

将解分隔开

x_{1} = \frac{- 32 + 40}{2 ( - 9 )}, x_{2} = \frac{- 32 - 40}{2 ( - 9 )}

x = \frac{- 32 + 40}{2 ( - 9 )} : - \frac{4}{9}

x = \frac{- 32 - 40}{2 ( - 9 )} : 4

二次方程组的解是:

x = - \frac{4}{9}, x = 4

作图

流行的例子

solvefor D,D^2y-4e^{5x}=0

so l v e f or D, D^{2} y - 4 e^{5 x} = 0

4 \cdot 8^{2} = d^{2} + d^{2}

solvefor x,(x^2+y^3)/y-4x^2y=4

so l v e f or x, \frac{x ^{2} + y ^{3}}{y} - 4 x^{2} y = 4

completesquare x^2-8x+15

co m pl e t es q u a re x^{2} - 8 x + 15

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