Question
If X = (√5 + 1) / (√5 – 1) and
y = (√5 – 1) / (√5 + 1) then the value of (x 2+xy+y 2) / (x 2 – xy + y 2) isSolution
X = (√5 + 1) / (√5 – 1) and y = (√5 – 1) / (√5 + 1) then (x2+xy+y2) / (x2 – xy + y2) firstly we will find x+y X + y = (√5 + 1) / (√5 – 1) + (√5 – 1) / (√5 + 1) => ((√5 + 1) 2 + (√5 – 1)2) / (5 – 1) => ( 5+1 +2√5+5+1-2√5) / 4 => (12 / 4) = 3 x × y = (√5 + 1) / (√5 – 1) × (√5 – 1) / (√5 + 1) = 1 => ((x + y)2 = x2 + y2 + 2xy (3)2 = x2 + y2 + 2 => x2 + y2 = 7 => Put x2 + y2 = 7 and xy = 1 in the question => (7 +1) / (7 – 1) => 8/6 = 4/3
If ‘*’ represents 12, '@' represents 48, '$' represents 24, and ‘!’ represents 6, then what mathematical equation below will be ...
Select the correct combination of mathematical signs that can sequentially replace the '$' signs and balance the given equation.
6 $ 42 $ 14 $ 6 $ 40 = -16
Which two digits and signs can be interchanged so as to balance the given equation?
30 + 10 X 5 - 12 ÷ 3 = 33
In the following question, which mathematical operators can be used so that the expression will become correct?
9 * 6 * 28 * 4 * 30
If '+' means 'subtraction', ' X ' means 'addition', '-' means 'division' and '÷' means 'multiplication', then what is the value of the following expres...
If + denotes ÷, × denotes -, - denotes ×, and ÷ denotes +, what is the value of the following expression:
124 + 4 × 5 – 6 ÷ 6 + 3 = ?
...If A # B means A + B, A $ B means A - B, A % B means A X B and A & B means A ÷ B, then what is the value of '154 & 22 % 5 $ 68 # 84'?
After interchanging the given two signs, what will be the value of the given equation? + and ÷
144 ÷ 12 + 36 × 3 - 18
What is the code for ‘it’?
Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.
48 * 495 * 5 * 2 * 120 = 126
Relevant for Exams:
