# How do you find the discriminant and how many and what type of solutions does #4x^2-7x+2=0# have?

##### 1 Answer

Mar 19, 2018

We have two conjugate irrational numbers of type

#### Explanation:

The discriminant of a quadratiic equation

- If
#b^2-4ac# is equal to zero, we have just one solution - If
#b^2-4ac>0# and it is square of a rational number, we have two solutions, each a rational number. - If
#b^2-4ac>0# and it is not a square of a rational number, we have two solutions, each root being a real number but not rational number. Tey will be of type#a+-sqrtb# , two conjugate irrational numbers. - If
#b^2-4ac<0# , we have two solutions, which are two complex conjugate numbers.

Here in

we have two conjugate irrational numbers of type