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受欢迎的代数 >

3t^2=12+5t

解答

3 t^{2} = 12 + 5 t

解答

t = 3, t = - \frac{4}{3}

+1

十进制

t = 3, t = - 1.33333 \dots

求解步骤

3 t^{2} = 12 + 5 t

将

5 t

para o lado esquerdo

3 t^{2} - 5 t = 12

将

12

para o lado esquerdo

3 t^{2} - 5 t - 12 = 0

使用求根公式求解

t_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 3 ( - 12 )}{2 \cdot 3}

(- 5)^{2} - 4 \cdot 3 (- 12) = 13

t_{1, 2} = \frac{- ( - 5 ) \pm 13}{2 \cdot 3}

将解分隔开

t_{1} = \frac{- ( - 5 ) + 13}{2 \cdot 3}, t_{2} = \frac{- ( - 5 ) - 13}{2 \cdot 3}

t = \frac{- ( - 5 ) + 13}{2 \cdot 3} : 3

t = \frac{- ( - 5 ) - 13}{2 \cdot 3} : - \frac{4}{3}

二次方程组的解是:

t = 3, t = - \frac{4}{3}

作图

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