What value of c makes x2-24x+c a perfect square trinomial?

144

Step-by-step explanation:

Perfect square formula: a^2 - 2ab + b^2 (because that equals (a-b)^2)

x^2-2*12x+c

a = 1

b = 12

12^2 = 144

The value of makes perfect square.

Step-by-step explanation:

We have to make

Since, Perfect square formula:

Re-write as,

Compare above with

Where a = x  and b= 12

so,

⇒

Hence,

Therefore, the value of makes perfect square.

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~