Question

2x^2-π（x/2）^2=180 解这个方程,结果保留π.两个根都要,

Answer 1

2x^2 - π(x/2)^2 = 180

8x^2 - πx^2 = 720

x^2(8 - π) = 720

x^2 = 720 / (8 - π)

x = ±√ [720 / (8 - π)]

进一步化简,分母有理化,得

x = ±12√ [5(8 - π)] / (8 - π)