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galben [10]
3 years ago
6

What is the only solution for 2x to the second power + 8x equals x to the second power - 16

Mathematics
2 answers:
sveticcg [70]3 years ago
6 0

Answer:

x=-4

Step-by-step explanation:

we are given equation as

2x^2+8x=x^2-16

Since, we have to solve for x

so, we will make all terms on left side

add both sides 16

2x^2+8x+16=x^2-16+16

2x^2+8x+16=x^2

Subtract both sides by x^2

2x^2+8x+16-x^2=x^2-x^2

x^2+8x+16=0

now, we can factor it

(x+4)^2=0

now, we can solve for x

and we get

x=-4


Neko [114]3 years ago
5 0

Answer:

The only solution of given equation is x=-4.

Step-by-step explanation:

The given equation is

2x^2+8x=x^2-16

2x^2+8x-x^2+16=0

x^2+8x+16=0

x^2+2(x)(4)+4^2=0

(x+4)^2=0                       \because (a+b)^2=a^2+2ab+b^2

(x+4)=0

x=-4

Therefore the only solution of given equation is x=-4.

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