Question

For what value of t, x²-tx+1/4 is a whole square number.​

Answer 1

Answer:

let us equate the given equation with some

equation like (x-k)^2 such that it is a perfect square number, that is

x^2-tx+1/4 = (x-k) ^2 = x^2-2kx+k^2

let us equate the coefficients on both sides

clearly here k^2=1/4=(1/2)^2

therefore k=1/2

and also we have

-t = -2k

t = 2(1/2)=1

hence the value of t is 1