SOLUTION: Good day The square of a natural number is four times more than two times another natural number. The second number is two less than three times the first number. Determine the

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Question 915418: Good day
The square of a natural number is four times more than two times another natural number. The second number is two less than three times the first number. Determine the two natural numbers algebraically
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
x^2 = 4(2y)
y = 3x - 2
x^2 = 8(3x-2)]
x^2 = 24x - 16
x^2 - 24x + 16 = 0
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=512 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 23.3137084989848, 0.686291501015239. Here's your graph:
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