Question

How many, and what type of solutions does 2x^2 + 11x +15 =0 have?

a.) 2 irrational solutions
b.) 2 nonreal solutions
c.) 1 rational solutions
d.) 2 rational solutions

Answer 1

The answer is d.) 2 rational soultions

Answer 2

THe given equation is

`2x^2 +11x + 15 =0`

TO find the number and type of solutions, we have to check out the discriminant, whose formula is

`D = b^2 -4ac`

In the given equation, values of a,b,c are 2,11,15 respectively .

Substituting the values of a,b and c in the formula of discriminant, we will get

`D = 11^2 - 4(2)(15) = 121-120 = 1`

Since the value of D is positive, so we have 2 rational solutions .

And the correct option is d .