Respuesta :

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

(x+5)^2=34

Solutions: ≈ -10.831, 0.831

Step-by-step 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.