Can you Solve Harvard University Admission Test ?✍️🖋️📘💙

[@gregevgeni1864]

Happy New Year to you! Nice problem! Thanks for sharing!

[@superacademy247]

You're welcome.Happy new year to you too!🥂🎁

[@ManojkantSamal]

X=16....May be Explain later

[@sergeylopatnikov5875]

Sum of two irrational numbers can easily be rational. This the first statement is incorrect. Also, it is not necessary. The checkng logic is incorrect> in spite is the final answer is correct, which must be proved by direct subsitution withou using the wrong idea of rationality.

[@stratosleounakis2267]

Fastest way m^2 + (m+7)^1/2 = 7 (m+7)^1/2 = t m+7 = t^2 (1) m^2+t=7 (2) (1)+(2) : m+7+m^2+t = t^2+7 m^2-t^2+m+t= 0 (m+t)(m-t)+(m+t) = 0 (m+t)(m-t+1) = 0 A. m+t = 0 , t = -m (2) : m ^2-m = 7, m^2-m-7 = 0 no solutions B. m-t+1 = 0 t = m+1 m^2+m+1-7 = 0 m^2+m-6 = 0 m1 = -3 , x = 81 no solytion m2 = 2, x = 16.