1. Find all real numbers a that satisfy \frac{1}{64a^3 + 7} - 7 = 0. 2. Find all values of a that satsify the equation \frac{a}{3} + 1 = \frac{a + 3}{a} + 1.
1.
164a3+7−7=07⋅(64a3+7)=17⋅64a3+48=0a=(−487⋅64)13a=(−37⋅4)13a=−0.474957
2.
a3+1=a+3a+1a3=a+3aa2−3a−9=0a=32±(94+9)12a∈{−1.854, 4.854}
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