+0

# Algebra

0
81
1

Find all real numbers a that satisfy
1/(a^3 + 7) - 7 = -a^3/(a^3 + 7) + 5.

Oct 16, 2022

#1
+14422
+1

Find all real numbers a that satisfy.

Hello Guest!

$$1/(a^3 + 7) - 7 = -a^3/(a^3 + 7) + 5\\ \dfrac{1}{a^3+7}-7=-\dfrac{a^3}{a^3+7}+5\\ \dfrac{1+a^3}{a^3+7}=12\\ 1+a^3=12a^3+84\\ 11a^3=-83\\ \color{blue}a=\sqrt[3]{-\frac{83}{11}}=-1.961$$

!

Oct 17, 2022