What two numbers have a product of 6400 and a sum of 160?
I'll define two variables, x and y.x = the value of the 1st numbery = the value of the 2nd numberEquation 1:xy = 6400Equation 2:x + y = 160x + y - y = 160 - yx = 160 - yPlug this into the first equation(160 - y) * y = 6400Simplify160y - y2 = 6400-y2+160y = 6400-y2 + 160y - 6400 = 6400 - 6400-y2 + 160y - 6400 = 0-(y2 - 160y + 6400) = 0-1*-(y2 - 160y + 6400) = 0 * -1y2 - 160y + 6400 = 0(y - 80)2 = 0y - 80 = √(0)y - 80 = 0y - 80 + 80 = 0 + 80y = 80Use the original 2nd equation to find xx + y = 160x + (80) = 160x + 80 = 160x + 80 - 80 = 160 - 80x = 80Both numbers are 80.I hope this made sense to you.