Question

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

1. 4, 4.24

2. 3.24, 5.24

3. 17, –19

4. 3.24, –5.24

Answer 1

D. 3.24 AND -5.24

Explanation:

Answer 2

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=(+/-)√18x=(+/-)√18-1x1=√18-1----> 3.24x2=-√18-1----> -5.24
the answer isthe option 4.) 3.24, –5.24