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受欢迎的代数 >

40(p^2-1)=39p

解答

40 (p^{2} - 1) = 39 p

解答

p = \frac{8}{5}, p = - \frac{5}{8}

+1

十进制

p = 1.6, p = - 0.625

求解步骤

40 (p^{2} - 1) = 39 p

展开

40 (p^{2} - 1) : 40 p^{2} - 40

40 p^{2} - 40 = 39 p

将

39 p

para o lado esquerdo

40 p^{2} - 40 - 39 p = 0

改写成标准形式

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

40 p^{2} - 39 p - 40 = 0

使用求根公式求解

p_{1, 2} = \frac{- ( - 39 ) \pm ( - 39 ) ^{2} - 4 \cdot 40 ( - 40 )}{2 \cdot 40}

(- 39)^{2} - 4 \cdot 40 (- 40) = 89

p_{1, 2} = \frac{- ( - 39 ) \pm 89}{2 \cdot 40}

将解分隔开

p_{1} = \frac{- ( - 39 ) + 89}{2 \cdot 40}, p_{2} = \frac{- ( - 39 ) - 89}{2 \cdot 40}

p = \frac{- ( - 39 ) + 89}{2 \cdot 40} : \frac{8}{5}

p = \frac{- ( - 39 ) - 89}{2 \cdot 40} : - \frac{5}{8}

二次方程组的解是:

p = \frac{8}{5}, p = - \frac{5}{8}

作图

流行的例子

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4 x^{2} - 23 x + 13 = - 3 x + 4

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5 z^{2} - 21 z + 11 = - 4 z

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