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受欢迎的代数 >

3x^2+35=24x-1

解答

3 x^{2} + 35 = 24 x - 1

解答

x = 6, x = 2

求解步骤

3 x^{2} + 35 = 24 x - 1

将

1

para o lado esquerdo

3 x^{2} + 36 = 24 x

将

24 x

para o lado esquerdo

3 x^{2} + 36 - 24 x = 0

改写成标准形式

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

3 x^{2} - 24 x + 36 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 3 \cdot 36}{2 \cdot 3}

(- 24)^{2} - 4 \cdot 3 \cdot 36 = 12

x_{1, 2} = \frac{- ( - 24 ) \pm 12}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 24 ) + 12}{2 \cdot 3}, x_{2} = \frac{- ( - 24 ) - 12}{2 \cdot 3}

x = \frac{- ( - 24 ) + 12}{2 \cdot 3} : 6

x = \frac{- ( - 24 ) - 12}{2 \cdot 3} : 2

二次方程组的解是:

x = 6, x = 2

作图

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