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受欢迎的代数 >

4q^2-5q=3q^2-8q+10

解答

4 q^{2} - 5 q = 3 q^{2} - 8 q + 10

解答

q = - 5, q = 2

求解步骤

4 q^{2} - 5 q = 3 q^{2} - 8 q + 10

交换两边

3 q^{2} - 8 q + 10 = 4 q^{2} - 5 q

将

5 q

para o lado esquerdo

3 q^{2} - 3 q + 10 = 4 q^{2}

将

4 q^{2}

para o lado esquerdo

- q^{2} - 3 q + 10 = 0

使用求根公式求解

q_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 ( - 1 ) \cdot 10}{2 ( - 1 )}

(- 3)^{2} - 4 (- 1) \cdot 10 = 7

q_{1, 2} = \frac{- ( - 3 ) \pm 7}{2 ( - 1 )}

将解分隔开

q_{1} = \frac{- ( - 3 ) + 7}{2 ( - 1 )}, q_{2} = \frac{- ( - 3 ) - 7}{2 ( - 1 )}

q = \frac{- ( - 3 ) + 7}{2 ( - 1 )} : - 5

q = \frac{- ( - 3 ) - 7}{2 ( - 1 )} : 2

二次方程组的解是:

q = - 5, q = 2

作图

流行的例子

5 (x - 8) = 30

\frac{1}{x} \leq 1

因式分解 x^2+2xy+y^2-4

f a c t or x^{2} + 2 x y + y^{2} - 4

1/3 (x+2)= 2/3 x+4

\frac{1}{3} (x + 2) = \frac{2}{3} x + 4

化简 (5-7i)/(7+5i)

s im pl i f y \frac{5 - 7 i}{7 + 5 i}