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Virty [35]
3 years ago
6

Use completing the square to solve for x in the equation (x-12)(x+4)=9

Mathematics
2 answers:
andreyandreev [35.5K]3 years ago
4 0

Answer:

Step-by-step explanation:

lets foil it and complete the square

x^2+4x-12x-48=9

x^2-8x=57

(-8/.5)^2=16

(x-4)^2-73

bogdanovich [222]3 years ago
3 0

Answer:

Choice d is the answer.

Step-by-step explanation:

We have given a  equation.

(x-12)(x+4) = 9

We have to find the solution using completing square technique.

Simplifying given given equation, we have

x²+4x-12x-48 = 9

Adding 48 to both sides of above equation, we have

x²-8x-48+48 =  9+48

x²-8x =  57

Adding the square of half of the term -8x to both sides of above equation, we have

x²-8x+(-4)² =  57+(-4)²

x²+2(1)(-4)+(-4)² =  57+16

(x-4)² = 73

Taking square root to both sides of above equation, we have

√(x-4)² = √73

x-4  = ±√73

Adding 4 to both sides of above equation, we have

x-4+4  =  ±√73+4

x  =  4±√73 which is the answer.

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Answer and question ok plss
ivolga24 [154]

Answer:

The answer is D(20)

Step-by-step explanation:

I don't know the exact algebraic explanation, however, this is how I did it.

2^5+2^5= 2*2^5

If you divide the second equation into seperate twos, you will get 2*2*2*2*2*2 = 2^6

Therefore, 2^x=2^6 meaning that x is equal to 6. Now The next bit is trial and error, 20-6=14. 3^{y} = 3^{14}

Last thing to do is to add x+y=6+14. That is why the answer is 20.

If you wait a bit longer, someone will probably have a more algebraic explanation, however, you stated you only needed the answer so I hope this helped.

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nexus9112 [7]
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