For this case we have:
Question 1:
We want to know the solution of
Adding 81 to both sides of the quadratic equation we have:
Applying square root on both sides of the equation:
So, we have two solutions:
Answer:
Question 2:
In this case, we want to solve the following quadratic equation:
Adding 26 to both sides of the quadratic equation we have:
Dividing between 2 on both sides of the equation:
Applying square root on both sides of the equation:
So, we have two solutions:
Answer:
Question 3:
For this case, we have a quadratic function of the form , where . They ask us to find the roots. So:
Adding 144 to both sides of the quadratic equation we have:
Applying square root on both sides of the equation:
So, we have two solutions:
Answer:
Question 4:
For this case we have a quadratic function of the form , where
Antoine says he has no solution. We must verify:
Subtracting 25 from both sides of the equation:
Applying square root on both sides of the equation:
By definition:
So:
So, we have two solutions:
Answer: