What are the solutions of the equation? 5z^2 + 9z - 2 = 0 a. 1, -2 b. 1, 2 c. 1/5, -2 d. 1/5, 2

Step-by-step explanation:

We are given an equation 5z² + 9z - 2 = 0 and we are to find possible values of z by solving that equation

We will do the task by factorization method:

5z² + 9z - 2 = 0

We can break the midterm (+9z) in two terms such that when they are multiplied the result is -10z² i.e. equal to product of first and third term of the equation above and their sum is equal to 9z

5z² + 10z - z - 2 = 0

5z(z + 2) - 1(z + 2) = 0

taking z+2 common in the above equation

(z+2)(5z-1) = 0

We can write above equation as

(x+2) = 0                  (5z-1) = 0

x = -2;                       5z = 1

c. 1/5, -2

Step-by-step explanation:

We are given the following equation and we are to solve it by factorizing it:

We are to find factors of -10 such that when multiplied they give a product of -10 and when added they give a result of 9.

Therefore, the correct answer option is c. 1/5, -2.