Respuesta :
Answer:
-5738
Step-by-step explanation:
One positive number "y" is 6 more than twice another "x"
Equation 1: y = 2x + 8
Their product is 731, therefore...
Equation 2: x * y = 731
Substitute
New Equation: x(2x + 8) = 731
Solve
x (2x + 8) = 731 Perform the multiplication by distributing the x
[tex]2x^{2}[/tex] + 8x = 731 Divide entire equation by 2, the coefficient of x2
[tex]x^{2}[/tex] + 4x = 365.5 Set equation (it is a quadratic) to 0 in order to solve by subtracting 365.5 from both sides
[tex]x^{2}[/tex] + 4x - 365.5 = 0 We can solve this using the Quadratic Formula or by Factoring.
Factoring
[tex]x^{2}[/tex] + 4x - 365.5 = 0 Solve by Factoring
