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受欢迎的代数 >

3y-y^2-4=0

解答

3 y - y^{2} - 4 = 0

解答

y = \frac{3}{2} - i \frac{7}{2}, y = \frac{3}{2} + i \frac{7}{2}

求解步骤

3 y - y^{2} - 4 = 0

改写成标准形式

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

- y^{2} + 3 y - 4 = 0

使用求根公式求解

y_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 ( - 1 ) ( - 4 )}{2 ( - 1 )}

化简

3^{2} - 4 (- 1) (- 4) : 7 i

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

将解分隔开

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

y = \frac{- 3 + 7 i}{2 ( - 1 )} : \frac{3}{2} - i \frac{7}{2}

y = \frac{- 3 - 7 i}{2 ( - 1 )} : \frac{3}{2} + i \frac{7}{2}

二次方程组的解是:

y = \frac{3}{2} - i \frac{7}{2}, y = \frac{3}{2} + i \frac{7}{2}

作图

流行的例子

s^{2} + 14 s + 2 = 0

quadraticformula 6x^2+x-5=0

q u a d r a t i c f or m u l a 6 x^{2} + x - 5 = 0

- x - x^{2} = 0

6 x^{2} - 35 = 11 x

solvefor y,4x^2-y^2=0

so l v e f or y, 4 x^{2} - y^{2} = 0