2x^(2)-7x+5 is a perfect square
You asked:
Is \(2 x^{2} - 7 x + 5\) a square number?
MathBot Answer:
\(2 x^{2} - 7 x + 5\) is not a square number.
A square number is a number that is the square of an integer. If \(x^2 = y\) for any integer \(x\), then \(y\) is a square number.
\[\sqrt{2 x^{2} - 7 x + 5} = \sqrt{2 x^{2} - 7 x + 5}\] There is no integer that satisfies \(x^2=2 x^{2} - 7 x + 5\), therefore \(2 x^{2} - 7 x + 5\) is not a square number.