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受欢迎的代数 >

1.2x=(3-x)*(3-x)

解答

1.2 x = (3 - x) \cdot (3 - x)

解答

x = \frac{3 ( 6 + 11 )}{5}, x = \frac{3 ( 6 - 11 )}{5}

+1

十进制

x = 5.58997 \dots, x = 1.61002 \dots

求解步骤

1.2 x = (3 - x) (3 - x)

在两边乘以

10

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

展开

10 (3 - x)^{2} : 90 - 60 x + 10 x^{2}

12 x = 90 - 60 x + 10 x^{2}

交换两边

90 - 60 x + 10 x^{2} = 12 x

将

12 x

para o lado esquerdo

10 x^{2} - 72 x + 90 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 72 ) \pm ( - 72 ) ^{2} - 4 \cdot 10 \cdot 90}{2 \cdot 10}

(- 72)^{2} - 4 \cdot 10 \cdot 90 = 1211

x_{1, 2} = \frac{- ( - 72 ) \pm 12 11}{2 \cdot 10}

将解分隔开

x_{1} = \frac{- ( - 72 ) + 12 11}{2 \cdot 10}, x_{2} = \frac{- ( - 72 ) - 12 11}{2 \cdot 10}

x = \frac{- ( - 72 ) + 12 11}{2 \cdot 10} : \frac{3 ( 6 + 11 )}{5}

x = \frac{- ( - 72 ) - 12 11}{2 \cdot 10} : \frac{3 ( 6 - 11 )}{5}

二次方程组的解是:

x = \frac{3 ( 6 + 11 )}{5}, x = \frac{3 ( 6 - 11 )}{5}

作图

流行的例子

∣ 2 x - 7 ∣ = ∣ x + 3 ∣

4 (x + 9) = 40

因式分解 10x^2+3x-4

f a c t or 10 x^{2} + 3 x - 4

因式分解 4c^4+6c^6+8c

f a c t or 4 c^{4} + 6 c^{6} + 8 c

m^{2} - 36 = 0