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受欢迎的代数 >

3k^2-k=4

解答

3 k^{2} - k = 4

解答

k = \frac{4}{3}, k = - 1

+1

十进制

k = 1.33333 \dots, k = - 1

求解步骤

3 k^{2} - k = 4

将

4

para o lado esquerdo

3 k^{2} - k - 4 = 0

使用求根公式求解

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

(- 1)^{2} - 4 \cdot 3 (- 4) = 7

k_{1, 2} = \frac{- ( - 1 ) \pm 7}{2 \cdot 3}

将解分隔开

k_{1} = \frac{- ( - 1 ) + 7}{2 \cdot 3}, k_{2} = \frac{- ( - 1 ) - 7}{2 \cdot 3}

k = \frac{- ( - 1 ) + 7}{2 \cdot 3} : \frac{4}{3}

k = \frac{- ( - 1 ) - 7}{2 \cdot 3} : - 1

二次方程组的解是:

k = \frac{4}{3}, k = - 1

作图

流行的例子

6 x^{2} + 48 x + 72 = 0

25 x^{2} + 60 x + 10 = 0

3 x^{2} - 36 = - 12 x

solvefor x,4x^2-16y^2-8x-64y+4=64

so l v e f or x, 4 x^{2} - 16 y^{2} - 8 x - 64 y + 4 = 64

x^{2} - \frac{4}{5} x = 3