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4x^2+16x-9=0

解答

4 x^{2} + 16 x - 9 = 0

解答

x = \frac{1}{2}, x = - \frac{9}{2}

+1

十进制表示法

x = 0.5, x = - 4.5

求解步骤

4 x^{2} + 16 x - 9 = 0

使用求根公式求解

x_{1, 2} = \frac{- 16 \pm 1 6 ^{2} - 4 \cdot 4 ( - 9 )}{2 \cdot 4}

1 6^{2} - 4 \cdot 4 (- 9) = 20

x_{1, 2} = \frac{- 16 \pm 20}{2 \cdot 4}

将解分隔开

x_{1} = \frac{- 16 + 20}{2 \cdot 4}, x_{2} = \frac{- 16 - 20}{2 \cdot 4}

x = \frac{- 16 + 20}{2 \cdot 4} : \frac{1}{2}

x = \frac{- 16 - 20}{2 \cdot 4} : - \frac{9}{2}

二次方程组的解是:

x = \frac{1}{2}, x = - \frac{9}{2}

流行的例子

化简 1/2*pi 化简

\frac{1}{2} \cdot π

化简 8/(5+i)化简

\frac{8}{5 + i}

15 x^{2} + 2 x - 10 = 0

3 x^{2} - 2 x - 1 = 0

化简 1/12+5/6 化简

\frac{1}{12} + \frac{5}{6}