Complete the square to solve 2x2 + 20x = 10.
O A. x = 51,30
O B. x= -530
O C. *= -21VTO
O D. X = 2 + 15

x =  -5 +     or   x  =  -5  -  

x  is about 0.4772   or x = - 10.4772

Step-by-step explanation:

Start with the equation:    2 * x^2 + 20x = 10

We can divide both sides by 2.

We get:    x^2  + 10x = 5

Let us find the number to complete the square on the left side

(10/2)^2 = 5^2 = 25

Add 25 to both sides

x^2  + 10x   +  25   = 5    +  25

(x + 5)^2   = 30    ,  now I can replace the trinomial  x^2 + 10x + 25 with the binomail squared  (x + 5)^2

Now we solve for x

Take square root of both sides.

x + 5  =      or    x + 5  =  -

We get two equations because taking the square root of a number yields a plus and negative number.

x =  -5 +     or   x  =  -5  -  

x  is about 0.4772   or x = - 10.4772

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