The exact number of solutions this equation can have is 2.
Step-by-step explanation:
[tex]25x^{2} - 20x + 7[/tex] is the given equation.
The given equation is of the quadratic form [tex]ax^{2} +bx + c[/tex] .
Also, here the highest degree of the variable is 2.
So by the FUNDAMENTAL THEOREM OF ALGEBRA
If P(x) is a polynomial of degree n ≥ 1, then P(x) = 0 has exactly n roots, including multiple and complex roots.
So the exact number of solutions this equation can have is 2.
