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In Math / Junior High School | 2024-09-04

the sum of two numbers is 14 and the product of these two numbers is 45 what are the numbers?​

Asked by roxannemcgrath843

Answer (1)

Answer:here's how to solve this problem:1.Set up the equation -lets x be the first numbers-lets y the second numberwe know:-x + y=14-x * y=452.Solve for one variable -solve the first equation for xx = 14 - y3.Subtitute -subtitute the value of x (14 - y) into the second equation (14 - y) * y=454.Simplify and solve the quadratic equation 14y - y2 = 45y2 - 14y + 45 = 0 (y - 9 (y - 5) = 0this give us two possible solution for y-y = 9-y = 55.find rhe corresponding values of x -if y = 9, then x = 14 - 9 = 5-if y= 5' then x = 14 - 5 = 9THEREFORE THE TWO NUMBERS ARE 5 AND 9Hope it helpsans#4

Answered by nagaambrince | 2024-09-04