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受欢迎的代数 >

9= 8/5 (x+5)58(x+5)

解答

9 = \frac{8}{5} (x + 5) 58 (x + 5)

解答

x = \frac{3 5}{4 29} - 5, x = - \frac{3 5}{4 29} - 5

+1

十进制

x = - 4.68857 \dots, x = - 5.31142 \dots

求解步骤

9 = \frac{8}{5} (x + 5) \cdot 58 (x + 5)

交换两边

\frac{8}{5} (x + 5) \cdot 58 (x + 5) = 9

化简

\frac{464}{5} (x + 5)^{2} = 9

在两边乘以

5

5 \cdot \frac{464}{5} (x + 5)^{2} = 9 \cdot 5

464 (x + 5)^{2} = 45

两边除以

464

\frac{464 ( x + 5 ) ^{2}}{464} = \frac{45}{464}

(x + 5)^{2} = \frac{45}{464}

对于

(g (x))^{2} = f (a)

解为

g (x) = f (a), - f (a)

解

x + 5 = \frac{45}{464} : x = \frac{3 5}{4 29} - 5

解

x + 5 = - \frac{45}{464} : x = - \frac{3 5}{4 29} - 5

二次方程组的解是:

x = \frac{3 5}{4 29} - 5, x = - \frac{3 5}{4 29} - 5

作图

流行的例子

- 5 x^{2} - 6 x - 1 = 0

0 = - 4.9 t^{2} + 28 t

12x^2+42x-294=0

12 x^{2} + 42 x - 294 = 0

x^{2} - x - 1 = 6 x - 1

x^{2} - \frac{1}{2} x = 0