Question

x2+11x+24=0 solve using square method

Answer 1

x^2 + 11x + 24 = 0

=> x^2 + 11x = - 24

=> (x)^2 + 2(x)(11/2) = - 24

=> (x)^2 + 2(x)(11/2) + (11/2)^2 = - 24 + (11/2)^2

=> (x + 11/2)^2 = - 24 + 121/4

=> (x + 11/2)^2 = 25/4

=> x + 11/2 = ± √25/4 = ± 5/2

=> x = ± 5/2 - 11/2 = (± 5 - 11)/2

∴ Either x = (5 + 11)/2 or, x = (- 5 + 11)/2

=> either x = 8 or, x = 3.

Therefore, x = 8 or 3.