The correct option is: The equation has two zeros because the discriminant is greater than 0.
Explanation:
First, remember the following conditions:
1. If the discriminant is less than zero, there will be no zeros.
2. If the discriminant is equal to zero, there will be one zero.
3. If the discriminant is greater than zero, there will be two zeros.
For the general equation of the form [tex]ax^2 + bx + c = 0[/tex], the discriminant is [tex]b^2 - 4ac[/tex].
Let's find the discriminant and then compare it with the conditions mentioned above.
Given Equation:
[tex]3x^2 -7x + 4 =0[/tex]
a = 3, b = -7, c = 4
Now find the discriminant:
[tex]b^2 - 4ac[/tex]
[tex](-7)^2 - 4(3)(4)[/tex]
Discriminant = 1
As the discriminant is greater than 0 (which in this case is 1), the equation has two zeros (as mentioned in the above conditions).
