If $$(3+2\sqrt{2})$$ is a root of the equation $$ax^{2}+bx+c=0$$ and $$(4+2\sqrt{3})$$ is a root of the equati

Question

If $$(3+2\sqrt{2})$$ is a root of the equation $$ax^{2}+bx+c=0$$ and $$(4+2\sqrt{3})$$ is a root of the equation $$ay^{2}+my+n=0$$ where a, b, c, m and n are integers, then the value of $$(\frac{b}{m}+\frac{c-2b}{n})$$ is

Accepted Answer

4. a, b, c, m and n are integers so if one root is 3 + 2 2 3+2\sqrt{2} 3 + 2 2 ​ then the other root is 3 − 2 2 3-2\sqrt{2} 3 − 2 2 ​ Sum of roots = 6 = -b/a or b= -6a Product of roots = 1 = c/a or c=a a, b, c, m and n are integers so if one root is 4 + 2 3 4+2\sqrt{3} 4 + 2 3 ​ then the other root is

If $(3+2\sqrt{2})$ is a root of the equation $ax^{2}+bx+c=0$ and $(4+2\sqrt{3})$ is a root of the equation $ay^{2}+my+n=0$ where a, b, c, m and n are integers, then the value of $(\frac{b}{m}+\frac{c-2b}{n})$ is

If $(3+2\sqrt{2})$ is a root of the equation $ax^{2}+bx+c=0$ and $(4+2\sqrt{3})$ is a root of the equation $ay^{2}+my+n=0$ where a, b, c, m and n are integers, then the value of $(\frac{b}{m}+\frac{c-2b}{n})$ is