express-2x-2-3x-5-as-a-sum-or-diffrence-of-two-squares-

Question Number 123315 by aurpeyz last updated on 24/Nov/20

e x p r e s s 2 x^{2} + 3 x + 5 a s a s u m o r

d i f f r e n c e o f t w o s q u a r e s

Commented by mr W last updated on 24/Nov/20

a n s w e r i n Q 123143 n o t g o o d f o r y o u ?

Answered by mathmax by abdo last updated on 24/Nov/20

{2 x}^{2} + 3 x + 5 = 2 {x^{2} + \frac{3}{2} x + \frac{5}{2}}

= 2 {x^{2} + 2 . \frac{3}{4} x + \frac{9}{16} + \frac{5}{2} - \frac{9}{16}} = 2 {{(x + \frac{3}{4})}^{2} + \frac{31}{16}}

= 2 {(x + \frac{3}{4})}^{2} + \frac{31}{8} = {(\sqrt{2} (x + \frac{3}{4}))}^{2} + {(\sqrt{\frac{31}{8}})}^{2}

Commented by aurpeyz last updated on 25/Nov/20

t h a n k y o u e v e r y o n e

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