Some of the steps for completing the square to solve x2 + 5x = 2 are shown. x2 + 5x = 2 x2 + 5x + = 2 +

To complete the square, first the coefficient in front of the x^2 must be 1, which it is in this case. Then, take the coefficient in front of the x and divide by 2, then square that.

5/2=2.5
2.5²=6.25 or 25/4

Then add this number to both sides and simplify.

x²+5x+25/4=2+25/4
x²+5x+25/4=33/4

Factor the left side using reverse foil. Hint: the number that you are adding/subtracting by should be the number you got when you divided the coefficient of x by 2

(x+5/2)²=33/4
√(x+5/2)²=√(33/4)
x+5/2=33/4 or x+5/2= -33/4
x=23/4 or x=-43/4

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