Determine the value of p such that x^2+5px+16=0 has no real roots
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since it has no real roots
b^2-4ac<0
(5p)^2-4x1x16<0
25p^2-64<0
25p^2<64
p^2<64/25
p<√64/25
p<8/5
(or)
p<1.6
b^2-4ac<0
(5p)^2-4x1x16<0
25p^2-64<0
25p^2<64
p^2<64/25
p<√64/25
p<8/5
(or)
p<1.6
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