 Hello and welcome to the session. My name is Mansi and I'm going to help you with the following question. The question here says solve each of the following equations. Second equation is 2x squared plus x plus 1 equal to 0. In this question we have to solve the equation 2x squared plus x plus 1 equal to 0. Now before starting with the solution we see the key idea behind the question. We see that solution to a quadratic equation of the form ax squared plus bx plus c equal to 0 such that a is not equal to 0 is given by x is equal to minus b plus minus under the root b squared minus 4ac the whole divided by 2a and this is same as minus b plus minus under the root 4ac minus b squared into ieta the whole divided by 2a. Now we start with the solution to this question. The equation given to us is 2x squared plus x plus 1 equal to 0. So b squared minus 4ac is same as 1 squared minus 4 into 2 into 1. This is equal to minus 7. Therefore from the key idea we see x is equal to minus 1 plus minus under the root minus 7 the whole divided by 2 into 2. x is equal to minus 1 plus minus under the root 7 ieta divided by 4. Therefore our solution to this question is minus 1 plus minus root 7 ieta divided by 4. I hope you understood the question and enjoyed the session. Goodbye.