Question

Solve the following quadratic equation by completing square.

$2y^2+5y+1=0$, then $y=\frac{-5\pm \sqrt{23}}{2}$. State true or false.

• A. True
• B. False

Answer 1

The correct option is B False

Given, $2y^2+5y+1=0$
Compare the given equation with $a{x}^2+bx+c=0$
Since, $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$
In given quadratic equation $a=2,b=5,c=1$
$\therefore y=\frac{-5\pm \sqrt{(5{)}^2-4\times 2\times 1}}{2\times 2}$
$\therefore y=\frac{-5\pm \sqrt{17}}{4}$
equation is false.
Answer is 0.