Question

Persamaan kuadrat dengan akar-akar 1 / 2+√2 dan 1 / 2-√2 adalah ...

Answer 1

*x1 + x2 = (1/ 2+√2) + (1/ 2-√2)
= 2-√2 + 2+√2
--------------------------
(2+√2)(2-√2)
= 4/ 4-2 = 4/2 = 2

* x1.x2 = (1/ 2+√2)(1/ 2-√2)
= 1/2

* x² - (x1+x2) x + (x1.x2) =0
x² -2x+1/2 =0...... (x2)
2x²-4x+1= 0