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Iteru [2.4K]
2 years ago
10

Plss help!Question: Find a,b and c​

Mathematics
1 answer:
Roman55 [17]2 years ago
6 0

Answer:

See below, please

Step-by-step explanation:

The right:

{(y + c)}^{2}  - b \times (x + a) \\  = ( {y}^{2}  + 2yc +  {c}^{2} ) - bx - ba  =

= {y}^{2}  - bx + 2cy +  {c}^{2}  - ab

The left:

=  {y}^{2}  - 7x - 18y + 109

So, after comparing the right side and the left side of this equation, we know

1)

b = 7

2)

2c =  - 18 \\ so \\ c =  - 9

3)

{c}^{2}  - ab = 109

So,

a =  \frac{ {c}^{2}  - 109}{b}  =  \frac{ { (- 9)}^{2}  - 109}{7}  =  \frac{ - 28}{7}  =  - 4

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