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受欢迎的代数 >

-4y-2y^2=-16

解答

- 4 y - 2 y^{2} = - 16

解答

y = - 4, y = 2

求解步骤

- 4 y - 2 y^{2} = - 16

将

16

para o lado esquerdo

- 4 y - 2 y^{2} + 16 = 0

改写成标准形式

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

- 2 y^{2} - 4 y + 16 = 0

使用求根公式求解

y_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 ( - 2 ) \cdot 16}{2 ( - 2 )}

(- 4)^{2} - 4 (- 2) \cdot 16 = 12

y_{1, 2} = \frac{- ( - 4 ) \pm 12}{2 ( - 2 )}

将解分隔开

y_{1} = \frac{- ( - 4 ) + 12}{2 ( - 2 )}, y_{2} = \frac{- ( - 4 ) - 12}{2 ( - 2 )}

y = \frac{- ( - 4 ) + 12}{2 ( - 2 )} : - 4

y = \frac{- ( - 4 ) - 12}{2 ( - 2 )} : 2

二次方程组的解是:

y = - 4, y = 2

作图

流行的例子

3 x^{2} = - 75

(3 x + 1) (2 x - 1) = 0

2 x^{2} = 2 x + 1

25 - 70 X + 49 X^{2} = 0

solvefor x,(x^2)/(25)-(y^2)/(16)=0

so l v e f or x, \frac{x ^{2}}{25} - \frac{y ^{2}}{16} = 0