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Olenka [21]
3 years ago
9

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

Mathematics
2 answers:
Dovator [93]3 years ago
7 0
3x² = 16x - 5
3x² - 16x + 5 = 16x - 16x - 5 + 5
3x² - 16x + 5 = 0
x = <u>-(-16) +/- √((-16)² - 4(3)(5))</u>
                       2(3)
x = <u>16 +/- √(256 - 60)</u>
                   6
x = <u>16 +/- √(196)</u><u /><u /><u />
                6
x = <u>16 +/- 14 </u>
             6
x = <u>16 + 14</u>    x = <u>16 - 14</u>
            6                   6
x = <u>30</u>            x = <u>2</u>
       6                   6
x = 5              x = 0.33333333333333333333333333333333333333333333333333
expeople1 [14]3 years ago
5 0
X - the number

3x^2=16x-5 \\&#10;3x^2-16x+5=0 \\&#10;3x^2-15x-x+5=0 \\&#10;3x(x-5)-1(x-5)=0 \\&#10;(3x-1)(x-5)=0 \\&#10;3x-1=0 \ \lor \ x-5=0 \\&#10;3x=1 \ \lor \ x=5 \\&#10;x=\frac{1}{3} \ \lor \ x=5

The number is 1/3 or 5.
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