Question

1. Find all values of a for which each of the following equations
has at least one root:
(1) x2 - 2 (a - 1) x + 2a + 1 = 0,
(2) (a - 2)x2- 2ax + 2a- 3 = 0.

.
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Answer 1

x2-2a+2+2a+1=0

x2+3=0

x2=3

X=3/2