Answer:
An example of a quadratic equation is:
[tex] {x}^{2} + 5x + 6 = 0[/tex]
Step-by-step explanation:
This answer follows the standard form for a quadratic equation:
[tex]a {x}^{2} + bx + c = 0[/tex]
To solve this equation you do the following:
x^2 + 5x + 6 =0
The factors that can be added to get *5* and multiplied to get *6* are 3 & 2.
Therefore the new equation would be:
x^2 +3x + 2x + 6 = 0
group the terms: (x^2 +3x) (+2x + 6) = 0
factorize: x (x + 3) 2 (x + 3) = 0
therefore: (x + 2) (x + 3) =0
x = -1 x =-3
