[Solution Library] Let a, b, c, d 0 be four non-negative numbers and assume c 2 + d 2 > 0. Consider the function = (a + ct) 2 + (b + dt) 2 . Obviously 0
Question:
Let a, b, c, d
0 be four non-negative numbers and assume
c 2 + d 2 > 0.
Consider the function
= (a + ct)
2
+ (b + dt)
2
.
Obviously
0 for all t
. Show that there is only one t*
such that
= 0.
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