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受欢迎的代数 >

8t(t+3)=2t-5

解答

8 t (t + 3) = 2 t - 5

解答

t = - \frac{1}{4}, t = - \frac{5}{2}

+1

十进制

t = - 0.25, t = - 2.5

求解步骤

8 t (t + 3) = 2 t - 5

展开

8 t (t + 3) : 8 t^{2} + 24 t

8 t^{2} + 24 t = 2 t - 5

将

5

para o lado esquerdo

8 t^{2} + 24 t + 5 = 2 t

将

2 t

para o lado esquerdo

8 t^{2} + 22 t + 5 = 0

使用求根公式求解

t_{1, 2} = \frac{- 22 \pm 2 2 ^{2} - 4 \cdot 8 \cdot 5}{2 \cdot 8}

2 2^{2} - 4 \cdot 8 \cdot 5 = 18

t_{1, 2} = \frac{- 22 \pm 18}{2 \cdot 8}

将解分隔开

t_{1} = \frac{- 22 + 18}{2 \cdot 8}, t_{2} = \frac{- 22 - 18}{2 \cdot 8}

t = \frac{- 22 + 18}{2 \cdot 8} : - \frac{1}{4}

t = \frac{- 22 - 18}{2 \cdot 8} : - \frac{5}{2}

二次方程组的解是:

t = - \frac{1}{4}, t = - \frac{5}{2}

作图

流行的例子

3 x^{2} + 1 = 121

completesquare x^2+8x-84=0

co m pl e t es q u a re x^{2} + 8 x - 84 = 0

(z + 1)^{2} + 2 = 0

(x - 2)^{2} = 4 - 9 x

A = 5 x (3 x + 2)