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受欢迎的代数 >

solvefor v,v+310^{-3}(v-1)^21010^3=5

解答

v, v + 3 \cdot 1 0^{- 3} (v - 1)^{2} 10 \cdot 1 0^{3} = 5

解答

v = \frac{59 + 481}{60}, v = \frac{59 - 481}{60}

+1

十进制

v = 1.34886 \dots, v = 0.61780 \dots

求解步骤

v + 3 \cdot 1 0^{- 3} (v - 1)^{2} \cdot 10 \cdot 1 0^{3} = 5

展开

v + 3 \cdot 1 0^{- 3} (v - 1)^{2} \cdot 10 \cdot 1 0^{3} : 30 v^{2} - 59 v + 30

30 v^{2} - 59 v + 30 = 5

将

5

para o lado esquerdo

30 v^{2} - 59 v + 25 = 0

使用求根公式求解

v_{1, 2} = \frac{- ( - 59 ) \pm ( - 59 ) ^{2} - 4 \cdot 30 \cdot 25}{2 \cdot 30}

(- 59)^{2} - 4 \cdot 30 \cdot 25 = 481

v_{1, 2} = \frac{- ( - 59 ) \pm 481}{2 \cdot 30}

将解分隔开

v_{1} = \frac{- ( - 59 ) + 481}{2 \cdot 30}, v_{2} = \frac{- ( - 59 ) - 481}{2 \cdot 30}

v = \frac{- ( - 59 ) + 481}{2 \cdot 30} : \frac{59 + 481}{60}

v = \frac{- ( - 59 ) - 481}{2 \cdot 30} : \frac{59 - 481}{60}

二次方程组的解是:

v = \frac{59 + 481}{60}, v = \frac{59 - 481}{60}

作图

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completesquare (300+10x)(1.6-0.1x)

co m pl e t es q u a re (300 + 10 x) (1.6 - 0.1 x)