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受欢迎的代数 >

2((0.145-2x)^2)=(0.0262+x)(0.074+x)

解答

2 \cdot ((0.145 - 2 x)^{2}) = (0.0262 + x) \cdot (0.074 + x)

解答

x = \frac{1.2602 + 0.46499044}{14}, x = \frac{1.2602 - 0.46499044}{14}

+1

十进制

x = 0.13872 \dots, x = 0.04130 \dots

求解步骤

2 ((0.145 - 2 x)^{2}) = (0.0262 + x) (0.074 + x)

展开

2 ((0.145 - 2 x)^{2}) : 0.04205 - 1.16 x + 8 x^{2}

展开

(0.0262 + x) (0.074 + x) : 0.0019388 + 0.1002 x + x^{2}

0.04205 - 1.16 x + 8 x^{2} = 0.0019388 + 0.1002 x + x^{2}

将

x^{2}

para o lado esquerdo

0.04205 - 1.16 x + 7 x^{2} = 0.0019388 + 0.1002 x

将

0.1002 x

para o lado esquerdo

7 x^{2} - 1.2602 x + 0.04205 = 0.0019388

将

0.0019388

para o lado esquerdo

7 x^{2} - 1.2602 x + 0.0401112 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 1.2602 ) \pm ( - 1.2602 ) ^{2} - 4 \cdot 7 \cdot 0.0401112}{2 \cdot 7}

(- 1.2602)^{2} - 4 \cdot 7 \cdot 0.0401112 = 0.46499044

x_{1, 2} = \frac{- ( - 1.2602 ) \pm 0.46499044}{2 \cdot 7}

将解分隔开

x_{1} = \frac{- ( - 1.2602 ) + 0.46499044}{2 \cdot 7}, x_{2} = \frac{- ( - 1.2602 ) - 0.46499044}{2 \cdot 7}

x = \frac{- ( - 1.2602 ) + 0.46499044}{2 \cdot 7} : \frac{1.2602 + 0.46499044}{14}

x = \frac{- ( - 1.2602 ) - 0.46499044}{2 \cdot 7} : \frac{1.2602 - 0.46499044}{14}

二次方程组的解是:

x = \frac{1.2602 + 0.46499044}{14}, x = \frac{1.2602 - 0.46499044}{14}

作图

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