What are the solutions of the equation? z^2 + 11z + 24 = 0 a. 8, -3 b. 8, 3 c. -8, -3 d. -8, 3

the solutions are -8, -3

Step-by-step explanation:

We are given an equation z² + 11z + 24 = 0 and we have to find solutions for it, which means finding out the value of z.

We will do it by factorization method

We will factorize the equation such that the sum of two factor is equal to 11z and the product is 24z²

z² +8z + 3z + 24 = 0

z(z + 8) + 3(z + 8) = 0

taking z+8 common above

(z+3)(z+8) = 0

z+3 = 0, z = -3

z+8 = 0, z = -8

so the solutions are -8, -3

c. -8, -3

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 24 such that when multiplied they give a product of 24 and when added they give a result of 11.

Therefore, the correct answer option is c. -8, -3.

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.