Answer:
31
Step-by-step explanation:
Given
x² + 5x - 3 = 0
with a = 1, b = 5, c= - 3 , then
sum of roots x₁ + x₂ = - = - = - 5
product of roots = = = - 3
Now
(x₁ + x₂)² = x₁² + 2x₁x₂ + x₂² , that is
(- 5)² = x₁² + 2(- 3) + x₂²
25 = x₁² - 6 + x₂² ( add 6 to both sides ), then
x₁² + x₂² = 31
Answer:
Step-by-step explanation:
One
If there are 12 dogs and cats in the vet's office, then if they were the same, there would be 6 dogs and 6 cats. Since there are are more dogs than cats, the number of dogs would have to be at least 7 to get more cats than dogs. If there were 7 dogs, there could only be 5 cats so that the total would be 12.
Two
The question is becoming more general. The answer is C. Notice that's exactly what happened in part one.
Answer:
18 , 20 , 22 and 24.
Step-by-step explanation:
Let the numbers be n , n + 2, n + 4 and n + 6.
So we have the following equation:
n + 3(n + 6) = 48 + n + 2 + n + 4
n + 3n + 18 = 48 + 2n + 6
4n + 18 = 2n + 54
2n = 36
n = 18
So the numbers are 18 , 20 , 22 and 24.