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horrorfan [7]
3 years ago
5

Simultaneous Equation (x+5)(x+2)=65 , xy=24 Plssss help me ✌

Mathematics
1 answer:
Ne4ueva [31]3 years ago
7 0

Answer:

  • (-11.70, -2.05), (4.70, 5.10)

Step-by-step explanation:

<u>Given equations</u>

  • (x+5)(x+2)=65
  • xy=24

<u>Solving the first equation for x:</u>

  • (x+5)(x+2)=65
  • x^2 + 7x + 10 = 65
  • x^2 + 7x - 55 = 0
  • x = (-7 ± √(49+4*55))/2
  • x = -11.70, x = 4.70

<u>Then solving for y:</u>

  • y= 24/(-11.7) = -2.05
  • y = 24/4.7 = 5.10

<u>Solution set: </u>

  • (-11.70, -2.05), (4.70, 5.10)
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