How many real solutions are there for 5x^2+7x+2?

To get the real solutions we factorize the expression:

5x^2+7x+2

we look for two numbers such that when we multiply we get 5x2=10 and when we add w get 7.

The numbers are 5 and 2;

thus:

5x^2+7x+2

=5x^2+5x+2x+2

=5x (x+1) + 2 (x+1)

= (5x+2) (x+1)

thus the real solutions will be:

x=-1 and x=2/5

hence the number of real solutions is 2

Applying equation of the second degree we have that

A=5

B=7

C=2

Solving the quadratic equation it gives us as result that has two real solutions

X1 = - 1

X2 = - 2/5