exam Maths Puzzle Numerical Ability

Please help me.

Solve by completing the square.
2x^2+10x+11=0

I get-5+-sqrt23/2

not sure how I got there. Is it right? How should I work it out.

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exam Other Question

Again, this is from my nephews Home School course, and it stumps me. Thank you in advance for your help. "One number is 11 more than twice another number. If the sum of the numbers is twice their difference, find the numbers." Show the graph for the quadratic function f(x)=(x-1)^2-2
Thank you for any help