To find:
Any two quadratic equations.
Solution:
The general form of a quadratic equation is:
[tex]ax^2+bx+c=0[/tex]
Where, a,b and c are real number and a is non zero.
We know that a,b,c can take any values but a cannot be 0.
For a=1, b=1,c=1, we get
[tex]1x^2+1x+1=0[/tex]
[tex]x^2+x+1=0[/tex]
One quadratic equation is [tex]x^2+x+1=0[/tex].
For a=3,b=-1,c=5, we get
[tex]3x^2+(-1)x+5=0[/tex]
[tex]3x^2-x+5=0[/tex]
Therefore, the two quadratic equations are [tex]x^2+x+1=0[/tex] and [tex]3x^2-x+5=0[/tex].
