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受欢迎的代数 >

(20+2x)(10+2x)=200+64

解答

(20 + 2 x) (10 + 2 x) = 200 + 64

解答

x = 1, x = - 16

求解步骤

(20 + 2 x) (10 + 2 x) = 200 + 64

展开

(20 + 2 x) (10 + 2 x) : 200 + 60 x + 4 x^{2}

200 + 60 x + 4 x^{2} = 264

将

264

para o lado esquerdo

4 x^{2} + 60 x - 64 = 0

使用求根公式求解

x_{1, 2} = \frac{- 60 \pm 6 0 ^{2} - 4 \cdot 4 ( - 64 )}{2 \cdot 4}

6 0^{2} - 4 \cdot 4 (- 64) = 68

x_{1, 2} = \frac{- 60 \pm 68}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- 60 + 68}{2 \cdot 4}, x_{2} = \frac{- 60 - 68}{2 \cdot 4}

x = \frac{- 60 + 68}{2 \cdot 4} : 1

x = \frac{- 60 - 68}{2 \cdot 4} : - 16

二次方程组的解是:

x = 1, x = - 16

作图

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