The standard form of a quadratic equation is ,
ax² + bx + c = 0.
And the formula to find the discriminant is b² - 4ac.
First step is to compare the given equation with this equation to get the value of a, b and c.
After comparing the equations we will get a = 1, b = -5 and c = -3.
So, discriminant = b²- 4ac
=( -5)²-4 (1)(-3)
= 25 + 12
= 37
So, discriminant of the given equation is 37.
37 is greater than 0 and it's not a perfect square number.
So, square root of 57 will result real and irrational number.
Hence, third choice is correct.
Hope this helps you!
