[PDF] Top 20 ON THE BINARY QUADRATIC EQUATION ax2-a(a+1)y2 = a
Has 10000 "ON THE BINARY QUADRATIC EQUATION ax2-a(a+1)y2 = a" found on our website. Below are the top 20 most common "ON THE BINARY QUADRATIC EQUATION ax2-a(a+1)y2 = a".
ON THE BINARY QUADRATIC EQUATION ax2-a(a+1)y2 = a
... The binary quadratic Diophantine equations (both homogeneous and non-homogeneous) are rich in ...the binary quadratic non-homogeneous equations representing hyperbolas respectively are studied ... See full document
7
ON THE NEGATIVE PELL EQUATION y2=102x2-18
... The binary quadratic equations of the form y 2 Dx 2 1 where D is non-square negative integer has been selected by various mathematicians for its non-trivial integer solutions when D takes ... See full document
8
On the Diophantine equation Ax2+22m=yn
... the quadratic field Q( √ −A) for a square free odd integer A > 1, and suppose that n > 2 is an odd integer with (n,h) = 1 and m > ...the equation of the title has no solution in ... See full document
9
On the Binary Quadratic Diophantine Equation Y2=272x2+16
... y is considered and a few interesting properties among the solutions are presented .Employing the integral solutions of the equation under considerations a few patterns of Pythagorean triangle are observed. ... See full document
7
Observations on Ternary Quadratic Diophantine Equation 6(x2+y2) – 11xy+3x+3y+9=72z2
... 6 ( x 2 y 2 ) 11 xy 3 x 3 y 9 72 z 2 (1) The substitution of linear transformations x u v and y u v (2) in (1) leads to, u 3 2 23 v 2 72 z 2 (3) We illustrate below six ... See full document
6
Observations on the Non Homogeneous Binary Quadratic Equation 8x2 3y2=20
... 1 x n 3 49 x n 1 0 49 y n 1 y n 3 80 x n 1 0 49 y n 2 5 y n 3 8 x n 1 0 5 x n 3 49 x n 2 3 y n 1 0 5 y n 2 8 x n 2 ... See full document
8
On the Positive Pell Equation Y2=35x2+29
... The binary quadratic Diophantine equation represented by the positive Pellian y 2 35 x 2 29 is analyzed for its non-zero distinct integer ... See full document
9
On the Negative Pell Equation y2 = 48x2 23
... The binary quadratic Diophantine equations (both homogeneous and non-homogeneous) are rich in ...the binary quadratic non-homogeneous equations representing hyperbolas respectively are studied ... See full document
8
ON THE P0SITIVE PELL EQUATION y2=34x2+18
... The binary quadratic equations of the form y 2 Dx 2 1 where D is non-square negative integer has been selected by various mathematicians for its non-trivial integer solutions when D takes ... See full document
9
On The Negative Pell Equation Y2 = 30x2 - 45
... The binary quadratic Diophantine equation represented by the negative pellian is analyzed for its non-zero distinct solutions. A few interesting relations among the solutions are given. Further, ... See full document
9
On Binary Quadratic Equation 2x2 3y2= 4
... 1 0 5 x n 1 x n 2 6 y n 1 0 x n 1 5 x n 2 6 y n 1 0 5 x n 1 49 x n 2 6 y n 3 0 60 y n 3 49 x n 3 x n 1 0 x n ... See full document
6
On the Positive Pellian Equation y2 = 48x2 + 16
... The hyperbola represented by the binary quadratic equation y 2 48 x 2 16 is analyzed for finding its non-zero distinct integer solutions. A few interesting relations among its solutions are ... See full document
9
Integral Solutions of the Diophantine Equation Y2=20x2+4
... The binary quadratic equation of the form y 2 Dx 2 1 where D is non –square positive integer has been studied by various mathematicians for its non-trivial integral solutions when D takes ... See full document
6
Observation on the Non-Homogeneous Binary Quadratic Diophantine Equation $5x^2-6y^2=5$
... The binary quadratic Diophantine equations of the form ax 2 − by 2 = N , ( a , b , N ≠ 0 ) are rich in variety and have been analyzed by many mathematicians for their respective integer solutions for ... See full document
8
Observation on the Binary Quadratic Equation
... 1 0 h) y n 2 41 y n 1 420 x n 1 0 i) y n 3 3361 y n 1 34440 x n 1 0 j) 41 y n 3 3361 y n 2 420 x n 1 0 k) 4 y n 1 41 x n 3 ... See full document
9
On The Binary Quadratic Diophantine Equation X2 3XY+Y2+18X=0
... The binary quadratic Diophantine equations (both homogeneous and non homogeneous) are rich in variety 1 6 ...the binary quadratic non-homogeneous equations representing hyperbolas ... See full document
5
Observations on Ternary Quadratic Equation z2 = 82x2 +y2
... ternary quadratic homogeneous equation k ( x 2 y 2 ) bxy 4 k 2 2 z , (k, ,b 0) has been studied for its non-trivial integral ...ternary quadratic Diophantine equation of the form ... See full document
7
On The Ternary Quadratic Diophantine Equation 4(x2+y2) 3xy=16z2
... equation 4(x 2 y 2 ) 3 xy 16 z 2 representing homogeneous quadratic equation with three unknowns for determining its infinitely many non-zero integral points. Also, a few interesting relations ... See full document
7
A Paper on the Plasmas: A Short Experimental Study on the LASER Triggered Photovoltaics
... The device supplies ordinary light to a neon tube. This glowing gas is excited and then acts as the gain medium through which the internal beam passes, as it is reflected thoroughly in the optical equipment. Laser output ... See full document
6
Six Spectroscopic Methods for Simultaneous Estimation of Lamivudine and Tenofovir in Tablets
... the binary mixture containing LAM and TEN were measured at ...- 1 st derivative zero-crossing spectroscopic method the amplitudes of the 1 st order derivative of the spectra of the binary ... See full document
9
Related subjects