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Rewrite the equation by completing the square.X^2 + 11x + 24 = 0

Rewrite the equation by completing the square.X^2 + 11x + 24 = 0-example-1
User Nealium
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2 Answers

3 votes

Answer:

(x+11/2)^2 = 25/4

did it on khan, hope this helps<3

User Deepti
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4 votes

Solution

For this case we can complete the square on this way:


x^2+11x+((11)/(2))^2+24-((11)/(2))^2

and if we simplify we got:


(x+(11)/(2))^2+24-(121)/(4)=(x+(11)/(2))^2-(25)/(4)

We can use this property:


(a^2+2ab+b^2)=(a+b)^2

For this case:


a=x,b=(11)/(2)

User Brandt Solovij
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