Question

After this equation, what will come please tell with step by step explanation...and also explain me...​

Answer 1

✪ᴀɴsᴡᴇʀ✪

• $\boxed{r = 0.077\:or\:-2.35}$

★ᴇxᴘʟᴀɪɴᴀᴛɪᴏɴ★

Here,

$\:\:\:\:\: r(5 + 2.2r) = 0.4$

$\to 5r + 2.2r^2 = 0.4$

$\to 2.2r^2 +5r - 0.4 = 0$

$\to 22r^2 +50r - 4 = 0$

$\to 11r^2 + 25r - 2 = 0$

Using formula of soving quadratic equation,

$\to r = \frac{-25 ± \sqrt{25^2 - 4(11)(-2)}}{2 (11)}$

$\to r = \frac{-25 ± \sqrt{625 + 88}}{22}$

$\to r = \frac{-25 ± \sqrt{713}}{22}$

$\to r = \frac{-25 ± 26.70}{22}$

$\to r = \frac{-25 + 26.70}{22}\:or\:\frac{-25 - 26.70}{22}$

$\to r = \frac{1.70}{22}\:or\:\frac{-51.70}{22}$

$\to r = 0.077\:or\:-2.35$