Question

7w^2+8w+2=0
how many real solutions does the equation have
no real solutions
one real solution
two real solutions

Answer 1

The discriminant of the quadratic equation can be calculated using the formula:
D = b^2 - 4ac
where a = 7, b = 8, and c = 2

Plugging in the values, we get:
D = 8^2 - 4*7*2
D = 64 - 56
D = 8

Since the discriminant is positive (D > 0), the quadratic equation has two distinct real solutions.