Solutions of the equation x² − (√2 + 1)x + √2 = 0 are
A
1, √2 + 1
B
√2, √2 + 1
C
√2, 1
D
−1, √2 + 1
Correct Option:
C
Explanation
The equation is x² − (√2 + 1)x + √2 = 0. For roots 1 and √2, their sum is 1 + √2 and their product is √2, exactly matching the coefficients. Hence the roots are √2 and 1.
