What equation results from completing the square and then factoring x^+4x=7

The resulting equation is (x + 2)^2 = 11

Step-by-step explanation:

It is given that,  x^2 + 4x=7  (1)

The quadratic equation is of the form ax^2 + bx + c = 0

in completing square method we have to add( b/2)² in both the sides

In eq (1) b = 4, then b/2 = 4/2 = 2

Therefore we have to add 2^2 = 4 in both sides of the eq (1)

eq (1) becomes   x^2 + 4x + 4=7  + 4

x^2 + 4x + 4 = 11

(x + 2)^2 = 11

Therefore the resulting equation is

(x + 2)^2 = 11

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step-by-step explanation:

i used the pitagoras theoreme