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受欢迎的代数 >

根 4s^2+s+1

解答

根

4 s^{2} + s + 1

解答

s = - \frac{1}{8} + i \frac{15}{8}, s = - \frac{1}{8} - i \frac{15}{8}

求解步骤

4 s^{2} + s + 1

根与 X 轴相交

(y = 0)

4 s^{2} + s + 1 = 0

使用求根公式求解

s_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 \cdot 4 \cdot 1}{2 \cdot 4}

化简

1^{2} - 4 \cdot 4 \cdot 1 : 15 i

s_{1, 2} = \frac{- 1 \pm 15 i}{2 \cdot 4}

将解分隔开

s_{1} = \frac{- 1 + 15 i}{2 \cdot 4}, s_{2} = \frac{- 1 - 15 i}{2 \cdot 4}

s = \frac{- 1 + 15 i}{2 \cdot 4} : - \frac{1}{8} + i \frac{15}{8}

s = \frac{- 1 - 15 i}{2 \cdot 4} : - \frac{1}{8} - i \frac{15}{8}

二次方程组的解是:

s = - \frac{1}{8} + i \frac{15}{8}, s = - \frac{1}{8} - i \frac{15}{8}

作图

流行的例子

3 x^{2} + 25 x + 8 = 0

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

s^{2} + 14 s + 2 = 0

quadraticformula 6x^2+x-5=0

q u a d r a t i c f or m u l a 6 x^{2} + x - 5 = 0

- x - x^{2} = 0