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Tcecarenko [31]
3 years ago
14

Which value must be added to the expression x^2+12x to make it a perfect square trinomial a:6 b:36 c:72 d:144

Mathematics
2 answers:
Ksivusya [100]3 years ago
7 0

The answer would be 36. Why?


Because in the equation we would need to do (x + 6)(x + 6) to get a perfect square trinomial.


And 6 * 6 is 36.


So the whole equation would be: x^2 + 12 + 36.


Hope this helped! c:

mariarad [96]3 years ago
4 0

The quadratic expression uses the following formula:


ax^2 + bx + c


The expression is missing the variable of c, and it is a perfect square trinomial.


To find c in a perfect square trinomial, we will use the following formula:


c = (\frac{b}{2}})^2


The value of b in this expression is 12. Plug this value into the formula:


\frac{12}{2} = 6


6^2 = \boxed{36}


36 must be added to make this trinomial a perfect square.

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