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受欢迎的代数 >

8+14t-15t^2=0

解答

8 + 14 t - 15 t^{2} = 0

解答

t = - \frac{2}{5}, t = \frac{4}{3}

+1

十进制

t = - 0.4, t = 1.33333 \dots

求解步骤

8 + 14 t - 15 t^{2} = 0

改写成标准形式

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

- 15 t^{2} + 14 t + 8 = 0

使用求根公式求解

t_{1, 2} = \frac{- 14 \pm 1 4 ^{2} - 4 ( - 15 ) \cdot 8}{2 ( - 15 )}

1 4^{2} - 4 (- 15) \cdot 8 = 26

t_{1, 2} = \frac{- 14 \pm 26}{2 ( - 15 )}

将解分隔开

t_{1} = \frac{- 14 + 26}{2 ( - 15 )}, t_{2} = \frac{- 14 - 26}{2 ( - 15 )}

t = \frac{- 14 + 26}{2 ( - 15 )} : - \frac{2}{5}

t = \frac{- 14 - 26}{2 ( - 15 )} : \frac{4}{3}

二次方程组的解是:

t = - \frac{2}{5}, t = \frac{4}{3}

作图

流行的例子

- 7 x^{2} + 28 = 0

roo t s x^{2} - 10 x + 26

(x + 5)^{2} + 127 = 6

因式分解 4x^2-5x=6

f a c t or 4 x^{2} - 5 x = 6

- 25 x^{2} + 20 x - 4 = 0