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受欢迎的代数 >

150000=200-20t+2t^2

解答

150000 = 200 - 20 t + 2 t^{2}

解答

t = 5 (1 + 937), t = 5 (1 - 937)

+1

十进制

t = 278.72431 \dots, t = - 268.72431 \dots

求解步骤

150000 = 200 - 20 t + 2 t^{2}

交换两边

200 - 20 t + 2 t^{2} = 150000

将

150000

para o lado esquerdo

2 t^{2} - 20 t - 149800 = 0

使用求根公式求解

t_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 \cdot 2 ( - 149800 )}{2 \cdot 2}

(- 20)^{2} - 4 \cdot 2 (- 149800) = 18037

t_{1, 2} = \frac{- ( - 20 ) \pm 180 37}{2 \cdot 2}

将解分隔开

t_{1} = \frac{- ( - 20 ) + 180 37}{2 \cdot 2}, t_{2} = \frac{- ( - 20 ) - 180 37}{2 \cdot 2}

t = \frac{- ( - 20 ) + 180 37}{2 \cdot 2} : 5 (1 + 937)

t = \frac{- ( - 20 ) - 180 37}{2 \cdot 2} : 5 (1 - 937)

二次方程组的解是:

t = 5 (1 + 937), t = 5 (1 - 937)

作图

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