Question

b^4 - 676b^2 +57600 = 0 ( b=??)​

Answer 1

Answer:

b=±24 OR b=±10

i.e b=10, b=-10, b=24 OR b=-24

Step-by-step explanation:

b^4 - 676b^2 +57600 = 0

Let b²=x

∴ x² - 676x + 57600 = 0

By splitting the middle term,

x²-576x -100x + 57600 = 0

x(x-576) -100(x-576)=0

(x-576)(x-100)=0

(x-576)=0 OR (x-100)=0

x=576 OR x=100

But x=b²

∴ 576=b² OR 100=b²

∴ b=±24 OR b=±10

Thus, b=10, b=-10, b=24 OR b=-24 are the roots for this question