Section-A (MThe value of p so that the quadratic equa-tion x2+5px +16-

1.	Section-A (MThe value of p so that the quadratic equa-tion x2+5px +16-o has no real root, is5
Answer» Given quadratic equation is=x² + 5px +16 = 0 On comparing with standard form of quadratic equation i.e ax² + bx + c =0,Here, a = 1 , b= 5p, c= 16 D(discriminant)= b²-4ac= (5p)² - 4× 1 × 16= 25p² - 64 Since, roots of given equation has no real roots. D < 0. 25p² - 64 <05p² - 8² < 0(5p +8)(5p -8)< 0[ a² - b² = (a-b)(a+b)]5p +8 <0 or 5p - 8< 0k > -8/5 or k < 8/5 -8/5 < k < 8/5 Hence, the required value of k is -8/5 < k < 8/5. Like my answer if you find it useful!

Section-A (MThe value of p so that the quadratic equa-tion x2+5px +16-o has no real root, is5

Answer»

Given quadratic equation is=x² + 5px +16 = 0

On comparing with standard form of quadratic equation i.e ax² + bx + c =0,Here, a = 1 , b= 5p, c= 16

D(discriminant)= b²-4ac= (5p)² - 4× 1 × 16= 25p² - 64

Since, roots of given equation has no real roots. D < 0.

25p² - 64 <05p² - 8² < 0(5p +8)(5p -8)< 0[ a² - b² = (a-b)(a+b)]5p +8 <0 or 5p - 8< 0k > -8/5 or k < 8/5

-8/5 < k < 8/5

Hence, the required value of k is -8/5 < k < 8/5.

Like my answer if you find it useful!