Question

What should be added to 4x²-3x²+1 to make it a perfect square​

Answer 1

You could solve this by using completing the square and simplifying

Answer 2

`im \: guessing \: its \: 4x {}^(2) - 3x + 1 \\ (correct \: me \: if \: im \: wrong)`

`(a - b) {}^(2) = a {}^(2) - 2ab + {b}^(2)`

`4x {}^(2) = a {}^(2) \: \: \: \: \: \: \: \: \: \: \: b {}^(2) = 1 \\ a = 2x \: \: \: \: \: \: \: \: \: \: \: \: \: \: b = 1`

`(2x - 1) {}^(2) = 4x {}^(2) -4x + 1`

`we \: need \: to \: add \: a \: - x \\ \: to \: the \: original \: equation`

Note that this problem can be approached in many ways. For instance, we can add to the b² term instead of changing the middle term...