MATH SOLVE

4 months ago

Q:
# One positive number is 8 more than twice another. If the product is 731

Accepted Solution

A:

Answer:-5738Step-by-step explanation:One positive number "y" is 6 more than twice another "x"Equation 1: y = 2x + 8Their product is 731, therefore...Equation 2: x * y = 731SubstituteNew Equation: x(2x + 8) = 731Solvex (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