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受欢迎的代数 >

48+16t-16t^2=0

解答

48 + 16 t - 16 t^{2} = 0

解答

t = - \frac{- 1 + 13}{2}, t = \frac{1 + 13}{2}

+1

十进制

t = - 1.30277 \dots, t = 2.30277 \dots

求解步骤

48 + 16 t - 16 t^{2} = 0

改写成标准形式

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

- 16 t^{2} + 16 t + 48 = 0

使用求根公式求解

t_{1, 2} = \frac{- 16 \pm 1 6 ^{2} - 4 ( - 16 ) \cdot 48}{2 ( - 16 )}

1 6^{2} - 4 (- 16) \cdot 48 = 1613

t_{1, 2} = \frac{- 16 \pm 16 13}{2 ( - 16 )}

将解分隔开

t_{1} = \frac{- 16 + 16 13}{2 ( - 16 )}, t_{2} = \frac{- 16 - 16 13}{2 ( - 16 )}

t = \frac{- 16 + 16 13}{2 ( - 16 )} : - \frac{- 1 + 13}{2}

t = \frac{- 16 - 16 13}{2 ( - 16 )} : \frac{1 + 13}{2}

二次方程组的解是:

t = - \frac{- 1 + 13}{2}, t = \frac{1 + 13}{2}

作图

流行的例子

x^{2} - 7 x + 10 = 0

- 6 (t) + 24 = 0

化简 sqrt(x)*sqrt(x)

s im pl i f y x \cdot x

10 x = 30

(x-2)/8 >= (x-1)/(12)+7/24

\frac{x - 2}{8} \geq \frac{x - 1}{12} + \frac{7}{24}