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Please help me..... I really will appreciate anyone who does help.
Try to show work/explain.

a) If (5x−2)^2=ax^2−bx+c, what is the value of a+c^2?
b)If (3x+5)2=ax2+bx+c, what is the value of a+b+c?

Respuesta :

LammettHash

For both problems, expand the left hand side and match up the coefficients.

a. [tex](5x-2)^2=25x^2-20x+4=ax^2-bx+c[/tex]

[tex]\implies a=25,b=20,c=4[/tex]

[tex]\implies a+c^2=25+4^2=41[/tex]

b. [tex](3x+5)^2=9x^2+30x+25=ax^2+bx+c[/tex]

[tex]\implies a=9,b=30,c=25[/tex]

[tex]\implies a+b+c=9+30+25=59[/tex]

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