The equation a+b+c=0 has roots α, β. Express (α+1)(β+1) in terms of a, b and c.

Step-by-step explanation:

We are given the equation:

Which has roots α and β.

And we want to express (α + 1)(β + 1) in terms of a, b, and c.

From the quadratic formula, we know that the two solutions to our equation are:

Let x₁ = α and x₂ = β. Substitute:

Combine fractions:

Rewrite:

Multiply and group:

Difference of two squares:

Expand and simplify:

Distribute:

Cancel like terms:

Factor:

Cancel. Hence:

Therefore:

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation:

for a it would be 24 children.

for b i don't understand the question. is it saying for each individual person they pick 5 reds to 7 greens or is it the whole group. clarify and i hope this can you.

step-by-step explanation: