Two numbers have a sum of 70 and a product of 1189



Two numbers have a sum of 70 and a product of 1189

Let us call the 2 numbers x and y, so we set up two equations:
Equation 1: x + y = 70
Equation 2: xy = 1189

Rearrange Equation 1, Solve for y:
y = 70 - x

Plugging this into Equation 2 for y, we get:
x(70 - x) = 1189
70x - x2 = 1189

We move all terms to the right side of the equation to get:
x2 - 70x + 1189 = 0
This forms a quadratic equation with a = 1, b = -70, and c = 1189
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