Question

Solve the following equation by using formula :

256x² – 32x + 1 = 0

Answer 1

256x²– 32x + 1 = 0
Here a = 256, b = -32, c = 1
D = b² - 4ac
= (-32)² - 4 x 256 x 1
= 1024 - 1024
= 0

∵ x = `(-b ± sqrt("D"))/(2a)`

= `(-(-32) ± sqrt(0))/(2 xx 256)`

= `(32)/(512)`

= `(1)/(16)`

`x_1 = (1)/(16), x_2 = (1)/(16)`

Hence x = `(1)/(16), (1)/(16)`.