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受欢迎的代数 >

8q^2-5q=7q^2-8q+18

解答

8 q^{2} - 5 q = 7 q^{2} - 8 q + 18

解答

q = - 6, q = 3

求解步骤

8 q^{2} - 5 q = 7 q^{2} - 8 q + 18

交换两边

7 q^{2} - 8 q + 18 = 8 q^{2} - 5 q

将

5 q

para o lado esquerdo

7 q^{2} - 3 q + 18 = 8 q^{2}

将

8 q^{2}

para o lado esquerdo

- q^{2} - 3 q + 18 = 0

使用求根公式求解

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

(- 3)^{2} - 4 (- 1) \cdot 18 = 9

q_{1, 2} = \frac{- ( - 3 ) \pm 9}{2 ( - 1 )}

将解分隔开

q_{1} = \frac{- ( - 3 ) + 9}{2 ( - 1 )}, q_{2} = \frac{- ( - 3 ) - 9}{2 ( - 1 )}

q = \frac{- ( - 3 ) + 9}{2 ( - 1 )} : - 6

q = \frac{- ( - 3 ) - 9}{2 ( - 1 )} : 3

二次方程组的解是:

q = - 6, q = 3

作图

流行的例子

4 x^{2} + 1 = - 4 x

化简 (36)^{3/2}

s im pl i f y (36)^{\frac{3}{2}}

因式分解 4x^3+12x^2+12x+4

f a c t or 4 x^{3} + 12 x^{2} + 12 x + 4

化简 3^2-(1/3)^{-2}

s im pl i f y 3^{2} - (\frac{1}{3})^{- 2}

9 z^{2} + 31 = 36 z