3x^2 + 7x - 10 = 0

Compare to ax+by+c=0

We get,

a=3

b=7

c=-10

Then using the formula

Here **D=( b^2-4*a*c )**(discriminant)

here,D=+129.

1] D>0 roots are distinct

2] D=0 roots are equal (-b/2a)

3] D<0 roots are imaginary

4] IF D is a perfect square and a,b,c are rational, then roots are rational.

**Therefore,as D=129,roots are real and distinct.**

x=(-7-11.358)/6,(-7+11.358)/6

x=-3.0596,0.7263

x=-3.06,0.727

**ANS: **

Discriminant=(b^2-4ac)=129

Hence,roots will be distinct.

x={-3.06,0.727}