2y2 - 2y - 24 has the factors (2y + 6) and (y - 4)
There is a formula, but I always use trial and error.
The factors of the non-x element need to be such that they can be added to give the middle element.
So when you get 24, then you need to be looking at 2,12 - 3,8 - 4,6
When both the second and third element are minus values then there is a plus and a minus in the factors.
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Let's denote the two numbers as x and y. We know that xy = 80 and x + y = 24. We can solve this system of equations by substituting one equation into the other. By substituting y = 24 - x into the first equation, we get x(24 - x) = 80. Simplifying this equation gives us a quadratic equation: x^2 - 24x + 80 = 0. Solving this quadratic equation will give us the values of x and y.
Let its sides be x and rearrange the diagonal formula into a quadratic equation:- So: 0.5(x^2-3x) = 252 Then: x^2-3n-504 = 0 Solving the quadratic equation: gives x a positive value of 24 Therefore the polygon has 24 sides irrespective of it being irregular or regular
x2 - 21x = 72x2 - 21x - 72 = 0(x - 24) (x + 3) = 0x = 24x = -3
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That IS the equation. You may want to write with the equal sign: 6p = 24