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Three times the square of a number if five less than sixteen times the number. What is the number?

Sagot :

Naǫidn
x - the number

[tex]3x^2=16x-5 \\ 3x^2-16x+5=0 \\ 3x^2-15x-x+5=0 \\ 3x(x-5)-1(x-5)=0 \\ (3x-1)(x-5)=0 \\ 3x-1=0 \ \lor \ x-5=0 \\ 3x=1 \ \lor \ x=5 \\ x=\frac{1}{3} \ \lor \ x=5[/tex]

The number is 1/3 or 5.
Panoyinidn
3x² = 16x - 5
3x² - 16x + 5 = 16x - 16x - 5 + 5
3x² - 16x + 5 = 0
x = -(-16) +/- √((-16)² - 4(3)(5))
                       2(3)
x = 16 +/- √(256 - 60)
                   6
x = 16 +/- √(196)
                6
x = 16 +/- 14
             6
x = 16 + 14    x = 16 - 14
            6                   6
x = 30            x = 2
       6                   6
x = 5              x = 0.33333333333333333333333333333333333333333333333333
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