3 times a number is 54 less than the square of that number

Mathematics

2 answers:

Natasha2012 [34]2 years ago

8 0

Answer:

-6

Step-by-step explanation:

3n = n² - 54

n² - 3n - 54 = 0

n² - 9n + 6n - 54 = 0

n(n - 9) + 6(n - 9) = 0

(n - 9)(n + 6) = 0

n = 9 , -6

hope this helps

alexgriva [62]2 years ago

7 0

3x = x^2 - 54
x^2 - 3x - 54 = 0
(x - 9)(x + 6) = 0
The answer is 9 or -6

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What are the values of x and y x=9/4 y=3/4 x=9/4 y=15/4 x=15/4 y=5/4 x=3/4 y=15/4

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The complete question in the attached figure

we know that

in the triangle BDC
cos alfa=3/y----------> equation 1
sin alfa=x/y----------> equation 2

in the triangle ABD
cos alfa=4/5--------> equation 3
sin alfa=3/5---------> equation 4

then

Equal equation 1 and 3
3/y=4/5---------> y/3=5/4----------> y=15/4

Equal equation 2 and 4
x/y=3/5-------> x=3*y/5------------> 3*15/(4*5)-----> x=9/4

the answer is
x=9/4 y=15/4