Question

How would you suggest a student find the value, say c, to make a given quadratic into a perfect square? For example, consider the equation y= x^2 -14x+32.

Answer 1

To make the quadratic equation into a perfect square, we need to find the value of c that completes the square by subtracting 49 from both sides of the equation.

Step-by-step explanation:

This expression is a quadratic equation of the form
`p = -7, so (x - 7)² = x² - 14x + 49`tants are a = 1, b = -14, and c = 32. To make this quadratic equation into a perfect square, we need to find the value of c that completes the square. The general form of a perfect square trinomial isg, where p is half the coefficient of x. In this case, p = -7, so (x - 7)² = x² - 14x + 49. To get the equation
`y = x² - 14x + 32` (x - 7)², we need to subtract 49 from both sides, giving us y - 49 = (x - 7)². Therefore, the value of c to make the quadratic equation into a perfect square is c = 49.