CAT Question Paper | CAT Verbal Ability Slot
Question :
Started 1 month ago by Shashank in
Option C
is the correct answer.
Explanatory Answer
\((x^{2}-5x+7)^{(x+1)}=1\)
2 cases:
• Power is 0
x + 1 = 0
x = -1
• \(x^{2}-5x+7=1\)
\(x^{2}-5x+6=0\)
\(x^{2}-2x-3x+6=0\)
\(x(x-2)-3(x-2)=0\)
\((x-2)(x-3)=0\)
\(x=2, x=3\)
• \(x^{2}-5x+7=-1\) ; Given power is even
\(x^{2}-5x+8=0\)
No real roots
Hence, 3 integers (-1, 2, 3) satisfy the given equation
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