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  • 23-04-2021
  • Mathematics
contestada

the difference of the square of a number and 12 is equal to 4 times that number. find the positive solution

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VirαtKσhli
VirαtKσhli VirαtKσhli
  • 23-04-2021

Answer:

[tex] x = 6 , -2[/tex]

Step-by-step explanation:

Let the required number be x .

According to the Question ,

[tex]\implies x^2 - 12 = 4x \\\\\implies x^2 -4x -12 = 0 \\\\\implies x^2 -6x + 2x -12 = 0 \\\\\implies x(x-6)+2(x-6) = 0 \\\\\implies (x-6)(x+2)=0\\\\\implies \boxed{\boxed{ x = 6 , -2}}[/tex]

Hence the number can be 6 or -2.

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