Use the discriminant to determine the nature of the roots of the following equation.

y2 - 5y - 3 = 0

double root
real and rational root
real and irrational root
non-real root

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!

the answer is 288..

hope this

56

step-by-step explanation: