2 X square + X - 4 is equal to zero
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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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