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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Answered by
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
1
Step-by-step explanation:
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