The general form of a quadratic equation is expressed as
ax^2 + bx + c
The given quadratic equation is expressed as
ax^2+3x+5=0
By comparing both equations,
a = a
b = 3
c = 5
The discriminant of a quadratic equation is expressed as b^2 - 4ac
If b^2 - 4ac > 0, then the equation has 2 real roots
by substituting the above values into the discriminant, it becomes
3^2 - 4 * a * 5 > 0
9 - 20a > 0
9 > 20a
20a < 9
a < 9/20
a < 0.45
The values of a for which the equation would have 2 roots would be a < 0.45f
3ions,
a = a
b = 3
c = 5t