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4 times a number is 12 less than the square of that number. Find the positive solution.

Sagot :

MrRoyalidn

Answer:

[tex]x = 6[/tex]

Step-by-step explanation:

Given

Let the number be x.

So, we have:

[tex]4 * x[/tex] ----- 4 times a number

[tex]= x^2 - 12[/tex] --- 12 less than its square

The equation becomes

[tex]4x = x^2 - 12[/tex]

Equate to o

[tex]x^2 - 4x - 12 = 0[/tex]

Split

[tex]x^2 - 6x +2x - 12 = 0[/tex]

Factorize

[tex]x(x - 6) +2(x - 6) = 0[/tex]

Factor out x - 6

[tex](x + 2)(x - 6) = 0[/tex]

Split

[tex]x + 2 = 0\ or\ x - 6 = 0[/tex]

Solve for x

[tex]x = -2\ or\ x = 6[/tex]

The positive value is 6

Cf1116rcsaidn

Answer:

6

Step-by-step explanation:

Have a good day :)

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