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受欢迎的代数 >

30(p^2-1)=11p

解答

30 (p^{2} - 1) = 11 p

解答

p = \frac{6}{5}, p = - \frac{5}{6}

+1

十进制

p = 1.2, p = - 0.83333 \dots

求解步骤

30 (p^{2} - 1) = 11 p

展开

30 (p^{2} - 1) : 30 p^{2} - 30

30 p^{2} - 30 = 11 p

将

11 p

para o lado esquerdo

30 p^{2} - 30 - 11 p = 0

改写成标准形式

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

30 p^{2} - 11 p - 30 = 0

使用求根公式求解

p_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 30 ( - 30 )}{2 \cdot 30}

(- 11)^{2} - 4 \cdot 30 (- 30) = 61

p_{1, 2} = \frac{- ( - 11 ) \pm 61}{2 \cdot 30}

将解分隔开

p_{1} = \frac{- ( - 11 ) + 61}{2 \cdot 30}, p_{2} = \frac{- ( - 11 ) - 61}{2 \cdot 30}

p = \frac{- ( - 11 ) + 61}{2 \cdot 30} : \frac{6}{5}

p = \frac{- ( - 11 ) - 61}{2 \cdot 30} : - \frac{5}{6}

二次方程组的解是:

p = \frac{6}{5}, p = - \frac{5}{6}

作图

流行的例子

2 x^{2} = 10 x - 25

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x^{2} - (k + 2) x + k + 1 = 0

(x - 13)^{2} = 400

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-6.4X^2+128X-546.67=0

- 6.4 X^{2} + 128 X - 546.67 = 0