Question

what is equivalent equation of x+2=0​

Answer 1

Answer:

Starting with the original equation, let’s subtract 13 from both sides:

x2 - 20x + 13 = 0

x2 - 20x = -13

In order to complete the square, we must take the coefficient of the “x” term, otherwise known as b in the general form of a quadratic (ax2 + bx + c = 0), and divide by 2. We will then take that term and square it, then add it to both sides.

B = -20

b/2 = -10

(b/2)2 = 100

x2 - 20x +100 = -13 + 100

From here we can simplify both the left and right hand sides. The left hand side can be simplified to the form (x + b/2)2 and the right hand side to the sum of the two integers. This will finish completing the square.

LHS: (x + b/2)2 = (x-10)2

RHS: -13 + 100 = 87

(x-10)2 = 87