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

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

jjsavage06

29.05.2020

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

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Tanya120

10.03.2022

The value of c =144 makes $x^{2}-24x+c$ perfect square.

Step-by-step explanation:

We have to make $x^{2}-24x+c$

Since, Perfect square formula: $a^{2} - 2ab + b^{2}=(a-b)^{2}$

Re-write $x^{2}-24x+c$ as,

$x^{2}-2\times 12x+c$

Compare above with $a^{2} - 2ab + b^{2}$

Where a = x and b= 12

so, b=12

⇒ $c =12^{2}=144$

Hence, $(a-b)^{2}=(x-12)^{2}$

Therefore, the value of c =144 makes $x^{2}-24x+c$ perfect square.

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Lived

30.09.2020

you didnt show us anything

Step-by-step explanation:

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