Verified answer

Answer:

kx

2

−5x+k=0

Here a=k,b=−5,c=k

Given that the equation has equa roots.

Therefore,

D=0

b

2

−4ac=0

(−5)−4(k)(k)=0

25−4k

2

=0

⇒4k

2

=25

⇒k=±

4

25

=±

2

5

Hence the value of k is ±

2

5

.

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Class 10

>>Maths

>>Quadratic Equations

>>Nature of Roots

>>If the equation kx^2 - 5x + k = 0 has eq

Question

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If the equation kx

2

−5x+k=0 has equal roots, find the value of

′

k

′

Medium

Solution

Verified by Toppr

kx

2

−5x+k=0

Here a=k,b=−5,c=k

Given that the equation has equa roots.

Therefore,

D=0

b

2

−4ac=0

(−5)−4(k)(k)=0

25−4k

2

=0

⇒4k

2

=25

⇒k=±

4

25

=±

2

5

Hence the value of k is ±

2

5

.