Question

Simultaneous Equation

(x+5)(x+2)=65 , xy=24

Plssss help me ✌

Answer 1

• (-11.70, -2.05), (4.70, 5.10)

Explanation:

Given equations

• (x+5)(x+2)=65
• xy=24

Solving the first equation for x:

• (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

Then solving for y:

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

Solution set:

• (-11.70, -2.05), (4.70, 5.10)