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Solve the following equation by using formula : 256x2 – 32x + 1 = 0 - Mathematics

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Question

Solve the following equation by using formula :

256x2 – 32x + 1 = 0

Sum

Solution

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)`.

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Chapter 5: Quadratic Equations in One Variable - Exercise 5.3

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ML Aggarwal Understanding ICSE Mathematics [English] Class 10
Chapter 5 Quadratic Equations in One Variable
Exercise 5.3 | Q 3.1
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