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受欢迎的代数 >

6=-1/2 t^2+6t-9

解答

6 = - \frac{1}{2} t^{2} + 6 t - 9

解答

t = 6 - 6, t = 6 + 6

+1

十进制

t = 3.55051 \dots, t = 8.44948 \dots

求解步骤

6 = - \frac{1}{2} t^{2} + 6 t - 9

在两边乘以

2

12 = - t^{2} + 12 t - 18

交换两边

- t^{2} + 12 t - 18 = 12

将

12

para o lado esquerdo

- t^{2} + 12 t - 30 = 0

使用求根公式求解

t_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 ( - 1 ) ( - 30 )}{2 ( - 1 )}

1 2^{2} - 4 (- 1) (- 30) = 26

t_{1, 2} = \frac{- 12 \pm 2 6}{2 ( - 1 )}

将解分隔开

t_{1} = \frac{- 12 + 2 6}{2 ( - 1 )}, t_{2} = \frac{- 12 - 2 6}{2 ( - 1 )}

t = \frac{- 12 + 2 6}{2 ( - 1 )} : 6 - 6

t = \frac{- 12 - 2 6}{2 ( - 1 )} : 6 + 6

二次方程组的解是:

t = 6 - 6, t = 6 + 6

作图

流行的例子

(x - 7)^{2} - 18 = 0

k^{2} + 3 k - 18 = 0

因式分解 x^2+8x+16=0

f a c t or x^{2} + 8 x + 16 = 0

x^{2} + x = \frac{7}{4}

solvefor x,x^2y=y-7

so l v e f or x, x^{2} y = y - 7