what would the answer be if you completed the square on this problem i was getting x=(3± √7)/2+4

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You should get the same answer as when you used the formula: x = 1 ±(√3)/2.Because the quadratic formula is a condensation of "completing the square" method.The formula is derived as follows:rewriting ax^2 + bx + c = 0 we get[x+ (b/2a)]^2 - (b/2a)^2 + (c/a) = 0[x+ (b/2a)]^2 = (b/2a)^2 - (c/a)simplifying the r.h.s.[x+ (b/2a)]^2 = (b^2 - 4ac) / 4a^2square-rooting both-sides gives:x + (b/2a) = ±√(b^2 -4ac) / 2asimplifying this gives the quadratic formula:x = [-b ±√(b^2 - 4ac)] / 2aNB. expanding (x + b/2)^2 using the rule (a + b)^2gives x^2 + 2bx + b^2.Also the Quadratic formula is the expression in algebraically completing the square for the equation ax^2 + bx +c = 0, just as I have shown here.