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受欢迎的代数 >

0.000000132(0.0000115-x)=x^2

解答

0.000000132 (0.0000115 - x) = x^{2}

解答

x = \frac{- 0.000000132 + 6.08942 E - 12}{2}, x = \frac{- 0.000000132 - 6.08942 E - 12}{2}

+1

十进制

x = 1.16784 E - 6, x = - 1.29984 E - 6

求解步骤

0.00000 \dots (0.0000115 - x) = x^{2}

展开

0.000000132 (0.0000115 - x) : 1.518 E - 12 - 0.00000 \dots x

1.518 E - 12 - 0.00000 \dots x = x^{2}

交换两边

x^{2} = 1.518 E - 12 - 0.00000 \dots x

将

0.00000 \dots x

para o lado esquerdo

x^{2} + 0.00000 \dots x = 1.518 E - 12

将

1.518 E - 12

para o lado esquerdo

x^{2} + 0.00000 \dots x - 1.518 E - 12 = 0

改写成标准形式

a x^{2} + b x + c = 0

x^{2} + 0.00000 \dots x = 0

使用求根公式求解

x_{1, 2} = \frac{- 0.00000 \dots \pm 0.00000 \dots ^{2} - 4 \cdot 1 \cdot ( - 1.518 E - 12 )}{2 \cdot 1}

0.00000 \dots^{2} - 4 \cdot 1 \cdot (- 1.518 E - 12) = 6.08942 E - 12

x_{1, 2} = \frac{- 0.00000 \dots \pm 6.08942 E - 12}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 0.00000 \dots + 6.08942 E - 12}{2 \cdot 1}, x_{2} = \frac{- 0.00000 \dots - 6.08942 E - 12}{2 \cdot 1}

x = \frac{- 0.00000 \dots + 6.08942 E - 12}{2 \cdot 1} : \frac{- 0.00000 \dots + 6.08942 E - 12}{2}

x = \frac{- 0.00000 \dots - 6.08942 E - 12}{2 \cdot 1} : \frac{- 0.00000 \dots - 6.08942 E - 12}{2}

二次方程组的解是:

x = \frac{- 0.00000 \dots + 6.08942 E - 12}{2}, x = \frac{- 0.00000 \dots - 6.08942 E - 12}{2}

作图

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