Can we exactly find r_(max) (a). r^2 +((2rt)/a)(t+2(√(ar)))=t^2 ∀ t is parameter


Question and Answers Forum

All Questions Topic List
Algebra Questions
Previous in All Question Next in All Question
Previous in Algebra Next in Algebra
Question Number 212500 by ajfour last updated on 15/Oct/24

$C a n w e e x a c t l y f i n d r_{m a x} (a) .$ $r^{2} + \frac{2 r t}{a} (t + 2 \sqrt{a r}) = t^{2} \forall t i s p a r a m e t e r$
	Answered by mr W last updated on 15/Oct/24

	$(\frac{2 r}{a} - 1) t^{2} + 4 r \sqrt{\frac{r}{a}} t + r^{2} = 0$ $Δ = \frac{4 r^{3}}{a} - r^{2} (\frac{2 r}{a} - 1) ⩾ 0$ $(\frac{2 r}{a} + 1) r^{2} ⩾ 0$ $\frac{2 r}{a} + 1 ⩾ 0$ $t h i s i s a l w a y s t r u e, s i n c e a r ⩾ 0 .$ $i f a > 0 : r ⩾ 0$ $i f a < 0 : r ⩽ 0$
	Commented by mr W last updated on 16/Oct/24

	Commented by mr W last updated on 16/Oct/24

Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum