SOLUTION: solve the quadratic equation by completing the square. 2p^2=6p-20

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Question 58232This question is from textbook
: solve the quadratic equation by completing the square.
2p^2=6p-20 This question is from textbook

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
solve the quadratic equation by completing the square.
2p%5E2=6p-20
2p%5E2=6p%2F2-20%2F2 First divide everything by the coefficient of p^2
p%5E2=3p-10 The put the p^2 and p on one side and the constant on the other.
p%5E2-3p=-10
p%5E2-3p%2B9%2F4=-10%2B9%2F4 (1/2 the coefficient of p) suqred is added to both sides.
%28p-3%2F2%29%5E2=-40%2F4%2B9%2F4 Factor your perfect square, the second term is half the coefficient of p.
%28p-3%2F2%29%5E2=-31%2F4
sqrt%28%28p-3%2F2%29%5E2%29=%2B-sqrt%28-31%2F4%29 take the square root of both sides
p-3%2F2=%2B-sqrt%2831%29i%2F2 The suqare root of -1 is i.
p=3%2F2%2B-sqrt%2831%29i%2F2
Happy Calculating!!!