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受欢迎的代数 >

3/5 (3p^2-12p-10)=0

解答

\frac{3}{5} (3 p^{2} - 12 p - 10) = 0

解答

p = \frac{6 + 66}{3}, p = \frac{6 - 66}{3}

+1

十进制

p = 4.70801 \dots, p = - 0.70801 \dots

求解步骤

\frac{3}{5} (3 p^{2} - 12 p - 10) = 0

在两边乘以

5

3 (3 p^{2} - 12 p - 10) = 0

展开

3 (3 p^{2} - 12 p - 10) : 9 p^{2} - 36 p - 30

9 p^{2} - 36 p - 30 = 0

使用求根公式求解

p_{1, 2} = \frac{- ( - 36 ) \pm ( - 36 ) ^{2} - 4 \cdot 9 ( - 30 )}{2 \cdot 9}

(- 36)^{2} - 4 \cdot 9 (- 30) = 666

p_{1, 2} = \frac{- ( - 36 ) \pm 6 66}{2 \cdot 9}

将解分隔开

p_{1} = \frac{- ( - 36 ) + 6 66}{2 \cdot 9}, p_{2} = \frac{- ( - 36 ) - 6 66}{2 \cdot 9}

p = \frac{- ( - 36 ) + 6 66}{2 \cdot 9} : \frac{6 + 66}{3}

p = \frac{- ( - 36 ) - 6 66}{2 \cdot 9} : \frac{6 - 66}{3}

二次方程组的解是:

p = \frac{6 + 66}{3}, p = \frac{6 - 66}{3}

作图

流行的例子

completesquare 2x^2-6x+4=0

co m pl e t es q u a re 2 x^{2} - 6 x + 4 = 0

- 4 x^{2} + 11 x - 6 = 0

x = (1 - x)^{2}

a^{2} - 4 a = 21

L(p)=-4000p^2+66000p-140000

L (p) = - 4000 p^{2} + 66000 p - 140000