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受欢迎的代数 >

59-7q-3q^2= 1/3 q^2+8

解答

59 - 7 q - 3 q^{2} = \frac{1}{3} q^{2} + 8

解答

q = - \frac{51}{10}, q = 3

+1

十进制

q = - 5.1, q = 3

求解步骤

59 - 7 q - 3 q^{2} = \frac{1}{3} q^{2} + 8

在两边乘以

3

177 - 21 q - 9 q^{2} = q^{2} + 24

将

24

para o lado esquerdo

- 9 q^{2} - 21 q + 153 = q^{2}

将

q^{2}

para o lado esquerdo

- 10 q^{2} - 21 q + 153 = 0

使用求根公式求解

q_{1, 2} = \frac{- ( - 21 ) \pm ( - 21 ) ^{2} - 4 ( - 10 ) \cdot 153}{2 ( - 10 )}

(- 21)^{2} - 4 (- 10) \cdot 153 = 81

q_{1, 2} = \frac{- ( - 21 ) \pm 81}{2 ( - 10 )}

将解分隔开

q_{1} = \frac{- ( - 21 ) + 81}{2 ( - 10 )}, q_{2} = \frac{- ( - 21 ) - 81}{2 ( - 10 )}

q = \frac{- ( - 21 ) + 81}{2 ( - 10 )} : - \frac{51}{10}

q = \frac{- ( - 21 ) - 81}{2 ( - 10 )} : 3

二次方程组的解是:

q = - \frac{51}{10}, q = 3

作图

流行的例子

化简 (y^{-3})/(y^3)

s im pl i f y \frac{y ^{- 3}}{y ^{3}}

化简 (7x^2}{4y^3}*\frac{2y)/x

s im pl i f y \frac{7 x ^{2}}{4 y ^{3}} \cdot \frac{2 y}{x}

4(3q+10)=6(2q-9)

4 (3 q + 10) = 6 (2 q - 9)

\frac{1}{3} x = 9

因式分解 (x+1)(x+3)(x+5)(x+7)+15

f a c t or (x + 1) (x + 3) (x + 5) (x + 7) + 15