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受欢迎的代数 >

t=3.3t^2-6t+12

解答

t = 3.3 t^{2} - 6 t + 12

解答

t = \frac{35}{33} + i \frac{2735}{33}, t = \frac{35}{33} - i \frac{2735}{33}

求解步骤

t = 3.3 t^{2} - 6 t + 12

在两边乘以

10

t \cdot 10 = 33 t^{2} - 60 t + 120

交换两边

33 t^{2} - 60 t + 120 = t \cdot 10

将

t 10

para o lado esquerdo

33 t^{2} - 70 t + 120 = 0

使用求根公式求解

t_{1, 2} = \frac{- ( - 70 ) \pm ( - 70 ) ^{2} - 4 \cdot 33 \cdot 120}{2 \cdot 33}

化简

(- 70)^{2} - 4 \cdot 33 \cdot 120 : 22735 i

t_{1, 2} = \frac{- ( - 70 ) \pm 2 2735 i}{2 \cdot 33}

将解分隔开

t_{1} = \frac{- ( - 70 ) + 2 2735 i}{2 \cdot 33}, t_{2} = \frac{- ( - 70 ) - 2 2735 i}{2 \cdot 33}

t = \frac{- ( - 70 ) + 2 2735 i}{2 \cdot 33} : \frac{35}{33} + i \frac{2735}{33}

t = \frac{- ( - 70 ) - 2 2735 i}{2 \cdot 33} : \frac{35}{33} - i \frac{2735}{33}

二次方程组的解是:

t = \frac{35}{33} + i \frac{2735}{33}, t = \frac{35}{33} - i \frac{2735}{33}

作图

流行的例子

x^{2} = 2 x + 2

2 x^{2} - 8 x + 15 = 0

4 x^{2} - 30 = 70

solvefor t,8left(x-2)left(x+2/5)^2=0

so l v e f or t, 8 l e f t (x - 2) l e f t (x + \frac{2}{5})^{2} = 0

- 6 x^{2} - 24 x = 0