Math, asked by soudarpallymanaswini, 1 month ago

53..The least integer value of k for
which the equation
|x – 21 – 4|x – 21+3=k has four
solution





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Answers

Answered by shahusneha269
2

Step-by-step explanation:

Given quadratic equation is x

2

−2(k+2)x+12+k

2

=0

For two different real roots, D>0

⇒b

2

−4ac>0

⇒(2(k+2))

2

−4×1×(12+k

2

)>0

⇒4(k

2

+4+4k)−48−4k

2

>0

⇒4k

2

+16+16k−48−4k

2

>0

⇒16k−32>0

⇒k>2

Hence, the least integral value of k is 3.

Answered by cuteeprincesses241
1

Step-by-step explanation:

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