Question

for what value of'p' will the quadratic equation have real roots? px2+4x+1=0

Answer 1

Hi ,

compare px² + 4x + 1 = 0 with ax² + bx + c = 0,

a = p , b = 4 , c = 1

we know that if the discreaminant ≥ 0 then

the quadratic equation has real roots.

b² - 4ac ≥ 0

4² - 4 × p × 1 ≥ 0

16 - 4p ≥ 0

- 4p ≥ - 16

multiply both sides with ( -1 ) , we get

4p ≤ 16

p ≤ 16 / 4

p ≤ 4

therefore ,

when p ≤ 4 then the quadratic equation have

real roots .

I hope this helps you.

:)

Answer 2

THIS IS ANOTHER MODEL SUM!
THIS IS HELPFUL FOR YOU
THANK YOU