zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

4((5-3y)/2)^2-3((5-3y)/2)y+9y^2=15

解答

4 (\frac{5 - 3 y}{2})^{2} - 3 (\frac{5 - 3 y}{2}) y + 9 y^{2} = 15

解答

y = \frac{4}{3}, y = \frac{1}{3}

+1

十进制

y = 1.33333 \dots, y = 0.33333 \dots

求解步骤

4 (\frac{5 - 3 y}{2})^{2} - 3 (\frac{5 - 3 y}{2}) y + 9 y^{2} = 15

展开

4 (\frac{5 - 3 y}{2})^{2} - 3 (\frac{5 - 3 y}{2}) y + 9 y^{2} : \frac{45 y ^{2}}{2} - \frac{75 y}{2} + 25

\frac{45 y ^{2}}{2} - \frac{75 y}{2} + 25 = 15

将

15

para o lado esquerdo

\frac{45 y ^{2} - 75 y}{2} + 10 = 0

改写成标准形式

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

\frac{45 y ^{2}}{2} - \frac{75 y}{2} + 10 = 0

使用求根公式求解

y_{1, 2} = \frac{- ( - \frac{75}{2} ) \pm ( - \frac{75}{2} ) ^{2} - 4 \cdot \frac{45}{2} \cdot 10}{2 \cdot \frac{45}{2}}

(- \frac{75}{2})^{2} - 4 \cdot \frac{45}{2} \cdot 10 = \frac{45}{2}

y_{1, 2} = \frac{- ( - \frac{75}{2} ) \pm \frac{45}{2}}{2 \cdot \frac{45}{2}}

将解分隔开

y_{1} = \frac{- ( - \frac{75}{2} ) + \frac{45}{2}}{2 \cdot \frac{45}{2}}, y_{2} = \frac{- ( - \frac{75}{2} ) - \frac{45}{2}}{2 \cdot \frac{45}{2}}

y = \frac{- ( - \frac{75}{2} ) + \frac{45}{2}}{2 \frac{45}{2}} : \frac{4}{3}

y = \frac{- ( - \frac{75}{2} ) - \frac{45}{2}}{2 \frac{45}{2}} : \frac{1}{3}

二次方程组的解是:

y = \frac{4}{3}, y = \frac{1}{3}

作图

流行的例子

z^{2} + 8 = 0

4.905x^2-12x-70=0

4.905 x^{2} - 12 x - 70 = 0

x^{2} = 16 x - 64

3sqrt(3)^2+3^2=c^2

3 3^{2} + 3^{2} = c^{2}

- 20 u - 25 = 4 u^{2}