Question

10=6^2+a^2 what is a

Answer 1

`a=\pm i√(26)}`

Explanation:

`6^2+a^2=10\\\\36+a^2=10\qquad\text{subtract 36 from both sides}\\\\a^2=-26<0\\\\\bold{NO\ REAL\ SOLUTIONS}\\\\\text{In the set of complex numbers:}\\\\i=√(-1)\\\\a^2=-26\to a=\pm√(-26)\\\\a=\pm√((-1)(26))\qquad\text{use}\ √(ab)=√(a)\cdot√(b)\\\\a=\pm√(-1)\cdot√(26)\\\\a=\pm i√(26)`