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bulgar [2K]
3 years ago
11

Find the values of a and b such that x^2 + 3x + 4 = (x + a)^2+ b

Mathematics
1 answer:
sesenic [268]3 years ago
8 0

Answer:

x {}^{2}  + 3x + 4 = (x  + a) {}^{2}  + b \\ x {}^{2}  + 3x + 4 = x {}^{2}  + 2ax + a {}^{2} + b \\   = x {}^{2}  + a {}^{2}  + 2ax + b \\  2a = 3 \\ b = 4 \\ a  =  \frac{3}{2}  \\ b = 4

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