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受欢迎的代数 >

3u^2=24u-3

解答

3 u^{2} = 24 u - 3

解答

u = 4 + 15, u = 4 - 15

+1

十进制

u = 7.87298 \dots, u = 0.12701 \dots

求解步骤

3 u^{2} = 24 u - 3

将

3

para o lado esquerdo

3 u^{2} + 3 = 24 u

将

24 u

para o lado esquerdo

3 u^{2} + 3 - 24 u = 0

改写成标准形式

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

3 u^{2} - 24 u + 3 = 0

使用求根公式求解

u_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 3 \cdot 3}{2 \cdot 3}

(- 24)^{2} - 4 \cdot 3 \cdot 3 = 615

u_{1, 2} = \frac{- ( - 24 ) \pm 6 15}{2 \cdot 3}

将解分隔开

u_{1} = \frac{- ( - 24 ) + 6 15}{2 \cdot 3}, u_{2} = \frac{- ( - 24 ) - 6 15}{2 \cdot 3}

u = \frac{- ( - 24 ) + 6 15}{2 \cdot 3} : 4 + 15

u = \frac{- ( - 24 ) - 6 15}{2 \cdot 3} : 4 - 15

二次方程组的解是:

u = 4 + 15, u = 4 - 15

作图

流行的例子

m^{2} + 11 m = 0

r^{2} + 4 r - 45 = 0

7 x^{2} - 3 x - 10 = 0

3 y^{2} + 7 y - 6 = 0

4 x^{2} - x = - 4