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受欢迎的代数 >

sqrt(w^2-5)+w=(1+6)/w

解答

w^{2} - 5 + w = \frac{1 + 6}{w}

解答

w = \frac{7}{3}

+1

十进制

w = 2.33333 \dots

求解步骤

w^{2} - 5 + w = \frac{1 + 6}{w}

在两边乘以

w

w^{2} - 5 w + ww = \frac{1 + 6}{w} w

化简

w^{2} - 5 w + w^{2} = 7

去除平方根

w^{4} - 5 w^{2} = 49 - 14 w^{2} + w^{4}

解

w^{4} - 5 w^{2} = 49 - 14 w^{2} + w^{4} : w = \frac{7}{3}, w = - \frac{7}{3}

w = \frac{7}{3}, w = - \frac{7}{3}

验证解:

w = \frac{7}{3}

真

, w = - \frac{7}{3}

假

解是

w = \frac{7}{3}

作图

流行的例子

x-5-sqrt(16x)=0

x - 5 - 16 x = 0

(x/(1-x))^{0.88}=0.536

(\frac{x}{1 - x})^{0.88} = 0.536

x - 1 - 3 x = 1

sqrt((p+2)/6)=-p

\frac{p + 2}{6} = - p

- x = - 12