To find the nature of solutions of a quadratic equation we can find the discriminant.
The standard form of a quadratic equation is ax² + bx + c = 0.
Formula to find the discriminant = b² - 4ac.
So, first step is to compare the given equation with the above equation to get the value of a, b, and c.
After comparing the two equations we will get a =1, b = 9 and c = 20.
Next step is to plug in these value in the formula of discriminant. So,
Discriminant = 9² - 4(1)(20)
= 81 - 80
= 1
Since 1 is a positive perfect square number.
So, we will get two real solutions for this equation.
Hence, the correct choice is C.
Hope this helps you.
