Question

The value of p so the quadratic equation x^2+5px+16=0 has no real roots

Answer 1

Answer:

Step-by-step explanation:

Discriminant <0, means no real roots

$(5p)^{2} - 4*1*16 < 0$

$25p^{2} <64$

$p < \sqrt{\frac{64}{25} }$

$p < \frac{8}{5}$

Answer 2

${b}^{2} - 4ac$

let a = 1

b = 5p

c = 16

25p2 - 4*1*16

25p2 - 64

25p2= 64

P2 = 64/25

p =√64/25

p= 8/5

hope it helps you