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2k^2-14=-3k

解答

2 k^{2} - 14 = - 3 k

解答

k = 2, k = - \frac{7}{2}

+1

十进制表示法

k = 2, k = - 3.5

求解步骤

2 k^{2} - 14 = - 3 k

将

3 k

para o lado esquerdo

2 k^{2} - 14 + 3 k = 0

改写成标准形式

a x^{2} + b x + c = 0

2 k^{2} + 3 k - 14 = 0

使用求根公式求解

k_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 2 ( - 14 )}{2 \cdot 2}

3^{2} - 4 \cdot 2 (- 14) = 11

k_{1, 2} = \frac{- 3 \pm 11}{2 \cdot 2}

将解分隔开

k_{1} = \frac{- 3 + 11}{2 \cdot 2}, k_{2} = \frac{- 3 - 11}{2 \cdot 2}

k = \frac{- 3 + 11}{2 \cdot 2} : 2

k = \frac{- 3 - 11}{2 \cdot 2} : - \frac{7}{2}

二次方程组的解是:

k = 2, k = - \frac{7}{2}

流行的例子

2 x > 8

x^{2} + 2 x - 440 = 0

lo g_{16} (4) = x

-1.18=(0.76)/(0.5)(0)+b

- 1.18 = \frac{0.76}{0.5} (0) + b

化简 (5/3)^{2.2}化简

(\frac{5}{3})^{2.2}