Question

What value of "c" will make the expression y = 3x² - 42x + (c) three times a perfect square?

A) c = 14
B) c = 49
C) c = 21
D) c = 56

Answer 1

The value of c that will make the expression y = 3x² - 42x + c three times a perfect square is c = 49.

Step-by-step explanation:

To make the expression y = 3x² - 42x + c three times a perfect square, we need to find the value of c.

In a quadratic equation, if the coefficient of the x² term is equal to three times the coefficient of the x term squared, the expression will be three times a perfect square. So, we can set up the equation 3(42)² = 3(c).

Solving for c, we get c = 49. Therefore, the value of c that will make the expression three times a perfect square is c = 49.