4x^2+266x-3096=0

解答

4 x^{2} + 266 x - 3096 = 0

x = \frac{- 133 + 30073}{4}, x = - \frac{133 + 30073}{4}

十进制

x = 10.10392 \dots, x = - 76.60392 \dots

求解步骤

4 x^{2} + 266 x - 3096 = 0

使用求根公式求解

x_{1, 2} = \frac{- 266 \pm 26 6 ^{2} - 4 \cdot 4 ( - 3096 )}{2 \cdot 4}

26 6^{2} - 4 \cdot 4 (- 3096) = 230073

x_{1, 2} = \frac{- 266 \pm 2 30073}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- 266 + 2 30073}{2 \cdot 4}, x_{2} = \frac{- 266 - 2 30073}{2 \cdot 4}

x = \frac{- 266 + 2 30073}{2 \cdot 4} : \frac{- 133 + 30073}{4}

x = \frac{- 266 - 2 30073}{2 \cdot 4} : - \frac{133 + 30073}{4}

二次方程组的解是:

x = \frac{- 133 + 30073}{4}, x = - \frac{133 + 30073}{4}

3 x^{2} + 2 x - 1 = - 2 x^{2}

(p + 3)^{2} = 8 (p + 3) - 15

(x + 2)^{2} + x^{2} = (x + 4)^{2}

(x + 3)^{2} + (x - 1)^{2} = 45

\frac{1}{2} x^{2} = 8