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Iteru [2.4K]
3 years ago
7

X^2=3x+3 using the quadratic formula,show steps

Mathematics
1 answer:
o-na [289]3 years ago
8 0
X²=3x+3
x²-3x-3=0. have to get 0 on right first
identify a,b,c. a is 1, b is -3, c is -3
now plug in to the quadratic formula...

x = -b±√(b²-4*a*c) / 2a

x = -(-3) ± √((-3)²-4*1*(-3)) / (2*1)

x= 3 ± √(9- -12) / 2

x=( 3 ± √21) /2
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Simplify completely quantity x squared minus 3 x minus 54 over quantity x squared minus 18 x plus 81 times quantity x squared pl
oee [108]
Your statemtent is incomplete.

I found the samestatment with the complete words: <span>Simplify completely quantity x squared minus 3 x minus 54 over quantity x squared minus 18 x plus 81 times quantity x squared plus 12 x plus </span>36 over x plus 6

Given that your goal is to learn an be able to solve any similar problem, I can teach you assuming that what I found is exactly what you need.

x^2 - 3x - 54            x^2 + 12x + 36
------------------    x   ---------------------
x^2 - 18x + 81              x + 6

factor x^2 - 3x - 54 => (x - 9)(x + 6)

factor x^2 - 18x + 81 => (x - 9)^2

factor x^2 + 12x + 36 = (x + 6)^2

Now replace the polynomials with the factors=>

(x - 9) (x + 6) (x + 6)^2        (x + 6)^2       x^2 + 12x + 36
------------------------------ =  --------------- = --------------------
    (x - 9)^2 (x + 6)                 (x - 9)               x - 9

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But, if you were to look at the table see if the numbers are increasing or decreasing for the y column. Once you figure this out, find out how much the numbers are increasing/decreasing by and that should be the answer for the constant of proportionality. If it is decreasing, it would be a negative number. If it is increasing, it would be a positive number.
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Step-by-step explanation:

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