Question

Solve the quadratic equation below by completing the square. What are the

solutions?
x2 + 10x + 22 = 31

Answer 1

(x+5)^2=34

Solutions: ≈ -10.831, 0.831

Explanation:

First you divide the second term by two to complete the square. The second term divided by two is 5, 5^2 is 25 which means you need a value of 25 to factor. Add 3 to both sides so you have a value of 25 on the left side.

x^2+10x+25=34 Next, factor the left side.

(x+5)^2=34

The solutions to this equation are not rational, you could use the quadratic formula to find the exact answer or put the equation into a graphing calculator to find approximate solutions.

Answer 2

The explanation and solution is stated in the attachment. Check the attachment.