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受欢迎的代数 >

70(60s^2+40s-0.5)=0

解答

70 (60 s^{2} + 40 s - 0.5) = 0

解答

s = \frac{- 2 10 + 43}{6 10}, s = \frac{- 2 10 - 43}{6 10}

+1

十进制

s = 0.01227 \dots, s = - 0.67894 \dots

求解步骤

70 (60 s^{2} + 40 s - 0.5) = 0

展开

70 (60 s^{2} + 40 s - 0.5) : 4200 s^{2} + 2800 s - 35

4200 s^{2} + 2800 s - 35 = 0

两边除以

4200

\frac{4200 s ^{2}}{4200} + \frac{2800 s}{4200} - \frac{35}{4200} = \frac{0}{4200}

改写成标准形式

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

s^{2} + \frac{2 s}{3} - \frac{1}{120} = 0

使用求根公式求解

s_{1, 2} = \frac{- \frac{2}{3} \pm ( \frac{2}{3} ) ^{2} - 4 \cdot 1 \cdot ( - \frac{1}{120} )}{2 \cdot 1}

(\frac{2}{3})^{2} - 4 \cdot 1 \cdot (- \frac{1}{120}) = \frac{43}{3 10}

s_{1, 2} = \frac{- \frac{2}{3} \pm \frac{43}{3 10}}{2 \cdot 1}

将解分隔开

s_{1} = \frac{- \frac{2}{3} + \frac{43}{3 10}}{2 \cdot 1}, s_{2} = \frac{- \frac{2}{3} - \frac{43}{3 10}}{2 \cdot 1}

s = \frac{- \frac{2}{3} + \frac{43}{3 10}}{2 \cdot 1} : \frac{- 2 10 + 43}{6 10}

s = \frac{- \frac{2}{3} - \frac{43}{3 10}}{2 \cdot 1} : \frac{- 2 10 - 43}{6 10}

二次方程组的解是:

s = \frac{- 2 10 + 43}{6 10}, s = \frac{- 2 10 - 43}{6 10}

作图

流行的例子

2 x - 1 \geq 7

(3 k - 4)^{2} = 64

化简 (8a-18)/(3a^2+14a+8)+7/(3a+2)

s im pl i f y \frac{8 a - 18}{3 a ^{2} + 14 a + 8} + \frac{7}{3 a + 2}

化简 (8/7)/((-10/9))

s im pl i f y \frac{\frac{8}{7}}{( - \frac{10}{9} )}

7 (2 + 5 v) = 3 v + 14