Question

HELP PLSSS ASAP!!!!!!

Answer 1

Answer: p=5+3/2 or p=5-3/2

Explanation:

Answer 2

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

Let's solve ~

`\qquad \sf  \dashrightarrow \: {p}^(2) - 10p + 7 = 0`

Now, let's use Quadratic formula :

`\qquad \sf  \dashrightarrow \:x = \frac{ - b \pm \sqrt{ {b}^(2) - 4ac } }{2a}`

`\qquad \sf  \dashrightarrow \:x = \frac{ - ( - 10) \pm \sqrt{ {( - 10)}^(2) - 4(1 * 7) } }{2 * 1}`

`\qquad \sf  \dashrightarrow \:x = ( 10 \pm √( 100- 28 ) )/(2 )`

`\qquad \sf  \dashrightarrow \:x = ( 10 \pm √( 72 ) )/(2 )`

`\qquad \sf  \dashrightarrow \:x = ( 10 \pm6 √( 2 ) )/(2 )`

`\qquad \sf  \dashrightarrow \:x = ( 2(5 \pm3 √( 2 )) )/(2 )`

`\qquad \sf  \dashrightarrow \:x = (5 \pm3 √( 2 ))`

So, the required roots are :

`\qquad \sf  \dashrightarrow \:x = 5 + 3 √( 2 )`

and

`\qquad \sf  \dashrightarrow \:x = 5 - 3 √(2)`