Find the value of b+c+d

Question

Find the value of b+c+d when

 

^{50 x^2 - 32 y^2 = 2(5x+by) (cx + dy)}

Answer 1

If we factor completely, we can find the values of b, c, and d.

 

50x² - 32y² = 2(25x² - 16y²)

                 = 2(5x - 4y)(5x + 4y)

 

b = -4

c = 5

d = 4

 

 

Now just add them up.