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受欢迎的代数 >

3t^2-82t+27=0

解答

3 t^{2} - 82 t + 27 = 0

解答

t = 27, t = \frac{1}{3}

+1

十进制

t = 27, t = 0.33333 \dots

求解步骤

3 t^{2} - 82 t + 27 = 0

使用求根公式求解

t_{1, 2} = \frac{- ( - 82 ) \pm ( - 82 ) ^{2} - 4 \cdot 3 \cdot 27}{2 \cdot 3}

(- 82)^{2} - 4 \cdot 3 \cdot 27 = 80

t_{1, 2} = \frac{- ( - 82 ) \pm 80}{2 \cdot 3}

将解分隔开

t_{1} = \frac{- ( - 82 ) + 80}{2 \cdot 3}, t_{2} = \frac{- ( - 82 ) - 80}{2 \cdot 3}

t = \frac{- ( - 82 ) + 80}{2 \cdot 3} : 27

t = \frac{- ( - 82 ) - 80}{2 \cdot 3} : \frac{1}{3}

二次方程组的解是:

t = 27, t = \frac{1}{3}

作图

流行的例子

9 x^{2} + 30 x = - 25

solvefor y,x^2+y^2+72=12x

so l v e f or y, x^{2} + y^{2} + 72 = 12 x

3 v^{2} - v - 12 = - 6

x^{2} - 16 x = - 73

2 x^{2} - 3 x = - x^{2} + 3