ANSWER and EXPLANATION
a) We want to solve the quadratic equation by completing the square:
The first step is to add 48 to both sides of the equation to eliminate -48 from the left-hand side:
Now, to complete the square, divide 16 by 2 and find the square. Then, add that to both sides of the equation:
That is the equation after completing the square.
To find the solutions of r, find the square root of both sides of the equation and simplify:
Those are the solutions.
b) We want to solve the quadratic equation given by completing the square:
The first step is to add 20 to both sides of the equation to eliminate -20 from the left-hand side:
Now, to complete the square, divide 4 by 2 and find the square. Then, add that to both sides of the equation:
That is the equation after completing the square.
To find the solutions of m, find the square root of both sides of the equation and simplify:
Those are the solutions.