Question

Neeed help more more please uwu

Answer 1

`{ \qquad\qquad\huge\underline{{\sf Answer}}}`

Here we go ~

Let's calculate its discriminant ~

`\qquad \sf  \dashrightarrow \: {t}^(2) + \cfrac{17}{2} t - 5 = 0`

[ Multiply both sides by 2 ]

`\qquad \sf  \dashrightarrow \: 2 {t}^(2) + 17t - 10`

• a = 2

• b = 17

• c = 10

`\qquad \sf  \dashrightarrow \: discriminant = {b}^(2) - 4ac`

`\qquad \sf  \dashrightarrow \: d = (17) {}^(2) - (4 * 2 * - 10)`

`\qquad \sf  \dashrightarrow \: d = 289 - ( - 80)`

`\qquad \sf  \dashrightarrow \: d = 369`

`\qquad \sf  \dashrightarrow \: \sqrt {d }= 3 √(41) \approx19.209`

So, by quadratic formula :

`\qquad \sf  \dashrightarrow \: t = \frac{ - {b}^{} \pm √(d) }{2a}`

`\qquad \sf  \dashrightarrow \: t = \frac{ - {17}^{} \pm √(369) }{2 * 2}`

`\qquad \sf  \dashrightarrow \: \:t = \cfrac{ - 17 - 19.209}{4} \: \: and \: \: t = (-17+19.209)/(4)`

`\qquad \sf  \dashrightarrow \: \:t = \cfrac{ - 36.209}{4} \: \: and \: \: t = (2.209)/(4)`

`\qquad \sf  \therefore \: t = - 9.052 \: \: \: or \: \: \: t = 0.552`