X^22212y^2=303. Find X And Y

X^2−y^2=303. find x and y

 

\text{Given}\:\: x^2-y^2=303\\\\\\x^2-y^2=303\\\\\implies(x+y)(x-y)=303\\\\\implies(x+y)(x-y)=101\times3\\\\\\x-y=3\implies x=y+3\\\\\\x+y=101\\\\\text{substitute for x}\\\\(y+3)+y=101\\\\2y=101-3\\\\y=\dfrac{98}{2}\\\\\boxed{y=49}\\\\\\x=y+3\\\\x=49+3\\\\\boxed{x=52}\\\\\\\text{nderline{Possibility}}:\\\\\text{choose} \:\:x+y=3\:\:and\:\: x-y=101. \\\\\text{solve it similarly so yoll arrive at answer}\\\\\text{x=52 and y=-49}


Comments

Post a Comment

Popular posts from this blog

Suggest Measures To Conserve Resources

Suggest measures to conserve resources   1.Generate more fund to support the development of highly energy efficient equipments,vehicles,gadgets etc... 2.Stop using old model of vehicles,equipments etc... that consume high amount of energy . 3.Limit the amount of production. 4.Reycle or reuse garbage materials or support renewable energy. 5.Dont put into waste any resources for unmeaningful reasons.
Read more

Use The Periodic Table To Identify The Number Of Core Electrons And The Number Of Valence Electrons In Each Case Below., Potassium (K): 1s22s22p63s23p

Use the periodic table to identify the number of core electrons and the number of valence electrons in each case below. Potassium (K): 1s22s22p63s23p64s1 core electrons valence electrons   Potassium (K) has : core electrons : 18 valence electron : 1 Further explanation Valence electrons are electrons used in forming bonds and are in the outer shell of an element.   The main group elements usually use electrons in the subshell ns and np   While the transition elements in the subshell (n-1) d   The location of the elemental groups in the periodic system is determined by the number of valence electrons in the last sub-shell   The period of an element is determined from the valence shell (the biggest main quantum number (n))         Core electrons are electrons that belong to atoms except for valence electrons. It is located close to the core and fills the inner shell.   Electron configurations from K :Ar 4s¹ or 1s²2s²2p⁶3s²3p⁶ 4s¹ From this electron configuration , number ...
Read more