The number is [tex]\frac{5}{6}[/tex] .
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
According to the question
Let the positive number = x
Now,
Twelve times the square of a positive number = 12[tex]x^{2}[/tex]
four times the same number = 4x
Therefore,
Twelve times the square of a positive number is five more than four times the same number.
i,e, the equation is
12[tex]x^{2}[/tex] = 4x + 5
12[tex]x^{2}[/tex] - 4x - 5 = 0
12[tex]x^{2}[/tex] - (10 - 6)x -5 = 0
2x(6x - 5) + (6x - 5) = 0
(2x + 1) (6x-5) = 0
x = [tex]\frac{5}{6}[/tex] , [tex]\frac{-1}{2}[/tex]
But x cannot be negative
x = [tex]\frac{5}{6}[/tex]
Hence, The number is [tex]\frac{5}{6}[/tex] .
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