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
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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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