Multiple choice

let$\alpha \left( a \right) and\beta \left( a \right) $ be the roots of the equation $\left( \sqrt [ 3 ]{ 1+a } -1 \right) { x }^{ 2 }+\left( \sqrt { 1+a } -1 \right) x+\left( \sqrt [ 6 ]{ 1+a } \right) $ where a>-1. Then ${ lim }{ a\rightarrow o^{ + } }\alpha \left( a \right) and\ { lim }{ a\rightarrow 0^{ + } }\beta \left( a \right) $ are

  1. $-\dfrac { 5 }{ 2 } and1$
  2. $-\dfrac { 1 }{ 2 } and-1$
  3. $-\dfrac { 7 }{ 2 } and2$
  4. $-\frac { 9 }{ 2 } and3$
Reveal answer Fill a bubble to check yourself
B Correct answer