 Hello and welcome to the session. My name is Mansi and I am going to help you with the following question. The question here says solve each of the following equations. Eighth equation is root 3x squared minus root 2x plus 3 root 3 equal to 0. In this question we have to solve the equation root 3x squared minus root 2x plus 3 root 3 equal to 0. Now before starting with the solution we see the key idea behind the question. Now we see that solution to a quadratic equation ex square plus bx plus c equal to 0 where a is not equal to 0 is given by x equal to minus b plus minus under the root b square minus 4ac the whole divided by 2a and this is equal to minus b plus minus under the root 4ac minus b square the whole divided by 2a into ieta. Now we start with the solution to this question. Equation given to us as root 3x square minus root 2x plus 3 root 3 equal to 0. Now if we compare this equation with ax square plus bx plus c equal to 0 we get a equals to root 3b equal to minus root 2 and c equal to 3 root 3. Now we find the value of v square minus 4ac that is equal to root 2 the whole square minus 4 into root 3 into 3 root 3 and this is equal to minus 34. So we see here that x equals to root 2 plus minus under the root minus 34 divided by 2 root 3 or we can say that x equals to root 2 plus minus root 34 ieta divided by 2 root 3. So therefore our answer to this question is root 2 plus root 34 ieta the whole divided by 2 root 3 plus 2 root 3 plus 2 root 3 root 3. So I hope you understood the question and enjoyed the session. Goodbye.