Math, asked by monupandey7, 1 year ago

2 X square + X - 4 is equal to zero


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Answers

Answered by PalakGusain
13
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Answered by mysticd
9

Hi ,


Given quadratic equation is


2x² + x - 4 = 0


Divide each term with 2 , we get


=> x² + x/2 - 4/2 = 0


=> x² + x/2 = 2


=> x² + 2 × x × 1/4 = 2


=> x²+2 × x × 1/4 + ( 1/4 )² = 2 + (1/4)²


=> ( x + 1/4 )² = 2 + 1/16


=> ( x + 1/4 )² = ( 32 + 1 )/16


=> ( x + 1/4 )² = 33/16


=> ( x + 1/4 ) = ± √33/4


x = -1/4 ± ( √33 )/4


Therefore ,


x = ( -1 ± √33 )/4


I hope this helps you.


: )



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