solve competing the square method.2y^2+9y+10=0
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Given : p ( y ) = 2 y² + 9 y + 10 = 0.
⇒ 2 / 2 y² + 9 / 2 y + 10 / 2 = 0 / 2. ⇒ y² + 9 / 2 y + 5 = 0.
Now transfer 5 [ constant term ] R.H.S. side : ⇒ y² + 9 / 2 y = - 5.
i.e. ( 9 / 4 )² = 81 / 16. ...
⇒ ( y + 9 / 4 ) = ± ( 1 / 4 )
Value of y as : ...
y = - 2. ...
y = - 5 / 2
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