Math, asked by ahmeditaj0507, 9 months ago

find the value of k for a quadratic equation k X square +(2k+4)x+9=0​

Answers

Answered by sahil17292592004
1

Answer:         K=1                     or        K=4

Step-by-step explanation:

CORRECT EQUATION:

kx^{2}+(2k+4)x+9=0

Now, for equal and real roots,

b^{2}-4ac=0

Plugging in the values of a, b and c

we get,

(2k+4)^{2}-4(k)(9)=0\\=>4k^{2}+16+16k-36k=0\\\\=>4k^{2}-20k+16=0\\=>4(k^{2}-5k+4)=0\\\\=>k^{2}-5k+4=0\\=>k^{2}-4k-1k+4=0\\=>k(k-4)-1(k-4)=0\\\\=>(k-1)(k-4)=0\\=>k=1\;\;\;or\;\;\;k=4\\\\\\Learning\;\;together\;:)

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