Question

By using the completing the squares method solve
Xsquared-8x+3=0

Answer 1

x = 4 ±
`√(13)`

Explanation:

Given

x² - 8x + 3 = 0 ( subtract 3 from both sides )

x² - 8x = - 3

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = - 3 + 16

(x - 4)² = 13 ( take the square root of both sides )

x - 4 = ±
`√(13)` ( add 4 to both sides )

x = 4 ±
`√(13)`

Answer 2

Explanation:

x^2 -8x +3 = 0

(x^2 - 8x + 16) = -3 + 16

(x-4)^2 = 13

x - 4 = (+/-)sqrt(13)

x = 4 +/- sqrt(13)