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@vaishnavi25v
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Answer:
5)a) Given: quadratic equation kx ²
+4x+1=0, has real and distinct roots
To find the value of k
- Sol: An equation has real and distinct roots if the discriminant b²-4ac > 0
In the given equation, a=k,b=4,c=1
Therefore the discriminant is 4²
−4(k)(1)>0
16−4k>0
⟹4k<16
Therefore, k<4
c)The given equation is
x²+2(k+2)x+9k=0
For the equation to have equal roots, the discriminant must be equal to zero
⇒b²- 4ac
⇒4(k+2)²
−4(9k)=0
⇒(k+2)²
=9k
⇒k²-5k+4=0
⇒k=1,4
6)a)2x²-4x+k=0.
a = 2
b = -4
c = k
→d=b²−4ac=0
→d=(−4)²−4×2×k=0
→d=16−8k=0
→16=8k
→ 16/8=k
→k=2
7)a)kx²−5x+1=0
Here a=k,b=−5,c=1
Given that the equation has equal roots.
Therefore,
D=0
b²−4ac=0
(−5)−4(k)(1)=0
25−4k=0
⇒4k
=25
⇒k=25/4
hope this helps!!
thanks.
Answered by
1
Answer:
k=25
Step-by-step explanation:
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