Divide a Number Problems

$\{\begin{array}{l}a+b=10\\ a^2=4\cdot (a\cdot b)\end{array}$

no such category found: #divide 10 into two parts

no such category found: #divide 10 into two parts
no such category found: #divide 10 into two parts
no such category found: #divide 10 into two parts
no such category found: #divide 10 into two parts
no such category found: #divide 10 into two parts
no such category found: #divide 10 into two parts
no such category found: #divide 10 into two parts
no such category found: #divide 10 into two parts

$\{\begin{array}{l}a+b=10\\ {(a-b)}^2\cdot (7+\frac{1}{9})={(a\cdot b)}^2\end{array}$

no such category found: #divide 10 into two parts