Math, asked by anshmaurya8, 1 year ago

if s and t are two are two real numbers such that their square is five more than the respective number then s square and t square is equals to?


amitnrw: Answer is (1+root21)/2 , (1-root21)/2
amitnrw: S^2 + t^2 = 11

Answers

Answered by amitnrw
3

Answer:


Step-by-step explanation:

S^2 = S +5 eq1

T^2 = T +5 eq2


Eq1-eq2


S^2-T^2 = S+5 - T-5

(S+T)(S-T) = S-T

S+T = 1


Eq 1 + eq2

S^2 + T^2 = S+5 + T+5

S^2 + T^2 = S+T + 10


Putting value of S+T


S^2+T^2 = 1 + 10

S^2 + T^2 = 11

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