Question: If $(\sqrt{2},\infty)$ and $x^{2} + 2ax + 10 - 3a > 0$ are the roots of the equation $x \in R$...

Question

If $(\sqrt{2},\infty)$ and $x^{2} + 2ax + 10 - 3a > 0$ are the roots of the equation $x \in R$ , then $- 5 < a < 2$ =

Answer 1

Given equation $p^{2} = 4q - 1$ , therefor

$(5 + \sqrt{2})x^{2} - (4 + \sqrt{5})x + 8 + 2\sqrt{5} = 0$ and $x^{2} - bx + c = 0$

Now $b^{2} - 4c$ .

Question: If \((\sqrt{2},\infty)\) and \(x^{2} + 2ax + 10 - 3a > 0\) are the roots of the equation \(x \in R\)...