Question

x^2-6x+3 by completing square mathod

Answer 1

Answer:

3+√6. ,3-√6

Step-by-step explanation:

the above equation can be expanded as

x^2 - 2.x.3 +3^2 -3^2+3=0. (a^2 -2ab +b^2)

(x - 3)^2 = 9 - 3 (transposing -3^2 +3 )

(x -3)^2 = (√6)^2

(x - 3)^2 - (√6)^2 = 0

This is in the form of a^2 - b^2 = (a + b)(a - b)

[(x - 3) + (√6)] ,[(x - 3) - (√6)]

x = 3 - √6. ,x = 3 + √6