please solve the above quetion
Answers
Answer:
Step-by-step explanation:
3. -5 is a root it means that x =-5 for 2x^2+px-15 = 0
so we put -5 in above equation to find the value of p :
2(-5)^2 + p(-5) -15=0
2(25)-5p-15=0
50-5p-15=0
35-5p=0
-5p=-35
p=7
now put the value of p in p(x^2+x)+k=0
7(x^2+x)+k=0
7x^2+7x+k=0
and we know d=0 when equation have equal roots ,
D=b^2-4ac
b=7
a=7
c=k
= (7)^2 -4(7)(k)
= 49 -28k=0
-28k=-49
k= -49/-28
k= 7/4
4. if roots are real and distinct it means d>0 (discriminant 0 se bada hai ..i.e. 1,2,3...)
D= b^2-4ac
a=k
b=6
c=1
= (6)^2-4(k)(1)>0
=36-4k>0
when we factorise it we get ,
4k<36
k<9
hope you understand ..if not plz ask me . :)
Step-by-step explanation:
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