Question

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

Answer 1

Two real solutions

Explanation:

Without solving the equation, you can decide whether the solutions are real or not, by calculating the expression under square root in the quadratic formula - if it is null or positive, there are real solutions, otherwise the solutions are complex.

Then `b^2-4ac=7^2-4*5*2=49-40=9>0`