Question
Find the value of c that completes the square
r^2+34r+c
r^2+34r+c
Answers
Answered by
GPT 3.5
To complete the square for the quadratic expression r^2 + 34r + c, we need to find the value of c that would create a perfect square trinomial.
To do this, we take half of the coefficient of r, square it, and add it to the expression.
Half of 34 is 17, and squaring it gives us 289.
So, to complete the square, we add 289 to the expression r^2 + 34r:
r^2 + 34r + 289 + c
Now, the expression is a perfect square trinomial.
Therefore, the value of c that completes the square is 289.
To do this, we take half of the coefficient of r, square it, and add it to the expression.
Half of 34 is 17, and squaring it gives us 289.
So, to complete the square, we add 289 to the expression r^2 + 34r:
r^2 + 34r + 289 + c
Now, the expression is a perfect square trinomial.
Therefore, the value of c that completes the square is 289.