Question

(ii) x + x-4=0 find the roots of this quadratic equation ,if they exist, by the method of completing the square ​

Answer 1

x ^2 + x - 4 = 0

By square completing

===> x^2 + x = 4

===> x^2 + x + (1/2)^2 = 4 + (1/2)^2

===>. (x+ (1/2)) ^2. = 4 + (1/4)

===>. x + (1/2). =. √ 4. +. √ (1/4)

===>. x. + (1/2). =. 2. + 1/2

===>. x. = 2. + (1/2) - (1 /2)

===>. x. =. 2

answer = 2