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受欢迎的代数 >

10=3Q^2-18Q+5

解答

10 = 3 Q^{2} - 18 Q + 5

解答

Q = \frac{9 + 4 6}{3}, Q = \frac{9 - 4 6}{3}

+1

十进制

Q = 6.26598 \dots, Q = - 0.26598 \dots

求解步骤

10 = 3 Q^{2} - 18 Q + 5

交换两边

3 Q^{2} - 18 Q + 5 = 10

将

10

para o lado esquerdo

3 Q^{2} - 18 Q - 5 = 0

使用求根公式求解

Q_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 \cdot 3 ( - 5 )}{2 \cdot 3}

(- 18)^{2} - 4 \cdot 3 (- 5) = 86

Q_{1, 2} = \frac{- ( - 18 ) \pm 8 6}{2 \cdot 3}

将解分隔开

Q_{1} = \frac{- ( - 18 ) + 8 6}{2 \cdot 3}, Q_{2} = \frac{- ( - 18 ) - 8 6}{2 \cdot 3}

Q = \frac{- ( - 18 ) + 8 6}{2 \cdot 3} : \frac{9 + 4 6}{3}

Q = \frac{- ( - 18 ) - 8 6}{2 \cdot 3} : \frac{9 - 4 6}{3}

二次方程组的解是:

Q = \frac{9 + 4 6}{3}, Q = \frac{9 - 4 6}{3}

作图

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