2007-08-16 01:08:06 · 6 answers · asked by dandawow 1 in Science & Mathematics ➔ Mathematics
A polynomial of the form: a^2 (+-) 2ab + b^2=0
is a perfect square.
More amusingly, if a prime number is of form 4n+1, then it is the sum of two squares.
2007-08-16 01:20:45 · answer #1 · answered by Tunips 4 · 1⤊ 0⤋
Perfect Square Equation
2016-11-14 07:43:42 · answer #2 · answered by mickelson 4 · 0⤊ 0⤋
Hi,
The most mathematical is to use the property of the quadratic equation. If b^2 = 4ac; then the equation is a perfect square.
You might save yourself a little work with a simple polynomial where a =1 if you just take the square root of the constant, c in the equation, double it and if that's the coefficient of the middle term; then it's a perfect square. That is sort of an inverse of the completing the square method.
Hope this helps.
FE
2007-08-16 03:01:46 · answer #3 · answered by formeng 6 · 1⤊ 0⤋
Let a*x^2+b*x+c be the equation. It is a perfect square if and only if b^2=4*a*c.
2007-08-16 01:23:56 · answer #4 · answered by Anonymous · 2⤊ 0⤋
2 ways if you talking about something like X^2 + 9 you know its a perfect square because 3 x 3= 9.. so the answer to the first equation would be easy cause its a perfect square... (X + 3) (X + 3)
now another way is if you talking about a number... well wat number times itself gives you that number.. example
what is the pefect square of 144....
well 12 x 12= 144 so 12 must be a perfect square
2007-08-16 01:20:14 · answer #5 · answered by Anonymous · 0⤊ 3⤋
If the difference between two square exists,then you have a perfect square.
2007-08-16 01:18:14 · answer #6 · answered by goring 6 · 0⤊ 3⤋