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受欢迎的代数 >

3s-2s^2= 3/2

解答

3 s - 2 s^{2} = \frac{3}{2}

解答

s = \frac{3}{4} - i \frac{3}{4}, s = \frac{3}{4} + i \frac{3}{4}

求解步骤

3 s - 2 s^{2} = \frac{3}{2}

在两边乘以

2

6 s - 4 s^{2} = 3

将

3

para o lado esquerdo

6 s - 4 s^{2} - 3 = 0

改写成标准形式

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

- 4 s^{2} + 6 s - 3 = 0

使用求根公式求解

s_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 ( - 4 ) ( - 3 )}{2 ( - 4 )}

化简

6^{2} - 4 (- 4) (- 3) : 23 i

s_{1, 2} = \frac{- 6 \pm 2 3 i}{2 ( - 4 )}

将解分隔开

s_{1} = \frac{- 6 + 2 3 i}{2 ( - 4 )}, s_{2} = \frac{- 6 - 2 3 i}{2 ( - 4 )}

s = \frac{- 6 + 2 3 i}{2 ( - 4 )} : \frac{3}{4} - i \frac{3}{4}

s = \frac{- 6 - 2 3 i}{2 ( - 4 )} : \frac{3}{4} + i \frac{3}{4}

二次方程组的解是:

s = \frac{3}{4} - i \frac{3}{4}, s = \frac{3}{4} + i \frac{3}{4}

作图

流行的例子

- 48 x^{2} - 36 x - 6 = 0

j(x)=-4x^2-2x+2

j (x) = - 4 x^{2} - 2 x + 2

x^{2} + x - 0.5 = 0

completesquare x^2-4x-21=0

co m pl e t es q u a re x^{2} - 4 x - 21 = 0

- 2 x^{2} + 9 x + 29 = - 6