If roots of a2-Ma+1 =0 are equal then m=
Answers
Answered by
0
Step-by-step explanation:
- a^2-ma+1=0
- above equation is a quadratic equation.
- in quadratic equation we have two roots
- for the equal roots , (-m)^2- 4 ×1×1 = 0
- =}. m^2 - 4 =0
- =}. m^2. = 4
=} m. =. +2
Answered by
1
Answer:
m = +2 or -2
Step-by-step explanation:
a² - ma + 1 = 0
(a')a² + ba + c = 0
where a' and b are coefficients and c is a constant term
a' = 1 , b = -m , c = 1
If it has equal roots then D = 0, that is, Discriminent = 0
so,
b² - 4a'c = 0
(-m)² - 4(1)(1) = 0
m² - 4 = 0
m² = 4
m = √4
m = +2 or -2
Hope you understood it........All the best
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