Recently I came across a sum which was of the type
$$25x+10\sqrt x+1 = 0.$$
Now I could solve this using factoring, but I'm wondering if this falls under the category of quadratic equation and if it does, is there any other way to solve this without factoring?
Also another sum of the same type :
$$4x^2+4\sqrt x+1.$$
Best Answer
It's sort of a quadratic equation. Let $y=\sqrt x$. Then you want to solve the equation $25y^2+10y+1=0$. This equation has no non-negative roots. Therefore (since $y=\sqrt x$) the original equation has no solutions (in $\mathbb R$).