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受欢迎的代数 >

17x^2-21x=-3x^2-5

解答

17 x^{2} - 21 x = - 3 x^{2} - 5

解答

x = \frac{21 + 41}{40}, x = \frac{21 - 41}{40}

+1

十进制

x = 0.68507 \dots, x = 0.36492 \dots

求解步骤

17 x^{2} - 21 x = - 3 x^{2} - 5

将

5

para o lado esquerdo

17 x^{2} - 21 x + 5 = - 3 x^{2}

将

3 x^{2}

para o lado esquerdo

20 x^{2} - 21 x + 5 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 21 ) \pm ( - 21 ) ^{2} - 4 \cdot 20 \cdot 5}{2 \cdot 20}

(- 21)^{2} - 4 \cdot 20 \cdot 5 = 41

x_{1, 2} = \frac{- ( - 21 ) \pm 41}{2 \cdot 20}

将解分隔开

x_{1} = \frac{- ( - 21 ) + 41}{2 \cdot 20}, x_{2} = \frac{- ( - 21 ) - 41}{2 \cdot 20}

x = \frac{- ( - 21 ) + 41}{2 \cdot 20} : \frac{21 + 41}{40}

x = \frac{- ( - 21 ) - 41}{2 \cdot 20} : \frac{21 - 41}{40}

二次方程组的解是:

x = \frac{21 + 41}{40}, x = \frac{21 - 41}{40}

作图

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