Question

factorise 2x^2 - x + 1/8 =0 using splitting the middle term

Answer 1

Hope you understand, thanks !

Answer 2

Answer:

(4x-1)(4x-1)=0

1/4 , 1/4 are roots of the equation

Explanation:

Given Quadratic equation:

2x²-x+1/8 = 0

Multiply each term by 8 we get

=> 16x² - 8x + 1 = 0

Splitting the middle term,we get

=> 16x² - 4x - 4x + 1 = 0

=> 4x(4x-1)-1(4x-1)=0

=> (4x-1)(4x-1)=0

=> 4x-1=0 or 4x-1 = 0

=> 4x = 1 or 4x = 1

=> x = 1/4 or x = 1/4

Therefore,

Roots of the quadratic equation are 1/4 , 1/4

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