CWoods26 CWoods26
  • 26-03-2019
  • Mathematics
contestada

solve x^2+10x=24 by completing the sqaure. which is the solution set of the equation

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mathstudent55
mathstudent55 mathstudent55
  • 26-03-2019

Answer:

{-12, 2}

Step-by-step explanation:

x^2 + 10x = 24

Take half of the x-term coefficient and square it. Add that to both sides.

Half of 10 is 5. 5^2 = 25.

x^2 + 10x + 25 = 24 + 25

(x + 5)^2 = 49

x + 5 = +/-sqrt(49)

x + 5 = 7 or x + 5 = -7

x = 2 or x = -12

{-12, 2}

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