Question

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x^2+2x=17

Answer 1

We have that
x²+2x=17
Group terms that contain the same variable
(x²+2x)=17
Complete the square. Remember to balance the equation
(x²+2x+1)=17+1

Rewrite as perfect squares

(x+1)²=18

x+1=(+/-)√18

x=(+/-)√18-1

x1=√18-1----> 3.24

x2=-√18-1----> -5.24

the answer is

the option 

4.) 3.24, –5.24