Divide a Number Problems

$\scriptstyle\begin{cases}\scriptstyle a+b=10\\\scriptstyle a^2=4\sdot\left(a\sdot b\right)\end{cases}$

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

$\scriptstyle\begin{cases}\scriptstyle a+b=10\\\scriptstyle\left(a-b\right)^2\sdot\left(7+\frac{1}{9}\right)=\left(a\sdot b\right)^2\end{cases}$

no such category found: #divide 10 into two parts