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ICSE Class 8 Answered

Factorise using formula when the given expression is a perfect square : x^2+x+1/4
Asked by Cl_narayan | 03 Feb, 2020, 07:03: PM
answered-by-expert Expert Answer
The given polynomial is P(x) = x2+x+1/4
Let P(x) = 0
x squared plus x plus 1 fourth equals 0 U sin g space q u a d r a t i c space f o r m u l a x equals fraction numerator negative 1 plus-or-minus square root of 1 minus 1 end root over denominator 2 end fraction equals negative 1 half T h u s comma space t h e space f a c t o r s space o f space P left parenthesis x right parenthesis space a r e space open parentheses x plus 1 half close parentheses space a n d space open parentheses x plus 1 half close parentheses H e n c e comma space x squared plus x plus 1 fourth equals open parentheses x plus 1 half close parentheses squared
Answered by Renu Varma | 04 Feb, 2020, 10:23: AM

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