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受欢迎的代数 >

11=7+17x-16x^2

解答

11 = 7 + 17 x - 16 x^{2}

解答

x = \frac{17 - 33}{32}, x = \frac{17 + 33}{32}

+1

十进制

x = 0.35173 \dots, x = 0.71076 \dots

求解步骤

11 = 7 + 17 x - 16 x^{2}

交换两边

7 + 17 x - 16 x^{2} = 11

将

11

para o lado esquerdo

- 16 x^{2} + 17 x - 4 = 0

使用求根公式求解

x_{1, 2} = \frac{- 17 \pm 1 7 ^{2} - 4 ( - 16 ) ( - 4 )}{2 ( - 16 )}

1 7^{2} - 4 (- 16) (- 4) = 33

x_{1, 2} = \frac{- 17 \pm 33}{2 ( - 16 )}

将解分隔开

x_{1} = \frac{- 17 + 33}{2 ( - 16 )}, x_{2} = \frac{- 17 - 33}{2 ( - 16 )}

x = \frac{- 17 + 33}{2 ( - 16 )} : \frac{17 - 33}{32}

x = \frac{- 17 - 33}{2 ( - 16 )} : \frac{17 + 33}{32}

二次方程组的解是:

x = \frac{17 - 33}{32}, x = \frac{17 + 33}{32}

作图

流行的例子

(-16t^2+60t+180)=0

(- 16 t^{2} + 60 t + 180) = 0

x^{2} - \frac{4}{3} x = 0

2 x^{2} - 1 x - 3 = 0

7 x^{2} = - 21 x

2 x^{2} + 8 = 40