The value of k that makes the expression x^2 + 72x +k a perfect square trinomial is ?
(x+72/2)^2 = (x+36)^2 = x^2 + 72x + 1296
k = 1296
72/2 = 36
36^2= 1296
Well, if we want the expression x^2 + 72x + k to be a perfect square trinomial, we need to find the value of k that completes the square. So let me put on my math clown wig and entertain you with a little equation magic!
To complete the square, we take half of the coefficient of x, square it, and add it to our expression. The coefficient of x is 72, so half of that is 36. Squaring 36 gives us 1296.
Therefore, the value of k that makes the expression x^2 + 72x + k a perfect square trinomial is 1296. Ta-da! Now it's magically perfect!
To find the value of k that makes the expression x^2 + 72x + k a perfect square trinomial, we need to complete the square.
A perfect square trinomial can be expressed in the form (x + a)^2, where a is a constant. In this case, we have x^2 + 72x + k.
To complete the square, we need to take half of the coefficient of x, square it, and add it to both sides of the equation. The coefficient of x is 72, so half of it is 36.
Adding 36^2 (which is 1296) to both sides, we get:
x^2 + 72x + k + 1296 = (x + 36)^2
Therefore, the value of k that makes the expression x^2 + 72x + k a perfect square trinomial is 1296.
To find the value of k that makes the expression x^2 + 72x + k a perfect square trinomial, we need to complete the square.
A perfect square trinomial can be written in the form (x + a)^2, where a is a constant.
In order to find the value of a, we need to take half of the coefficient of x and square it.
Coefficient of x = 72
Half of 72 = 36
Square of 36 = 1296
Therefore, in order for x^2 + 72x + k to be a perfect square trinomial, the value of k should be 1296.