 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. Sixth equation is x square minus x plus 2 equal to 0. Now in this question we have to solve the equation x square minus x plus 2 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 a x square plus b x 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 4 a c the whole divided by 2 a. This is the same as minus b plus minus under the root 4 a c minus b square the whole divided by 2 a Iota. Now we start with the solution to this question. The equation given to us is x square minus x plus 2 equal to 0. If we compare this equation with a x square plus b x plus c equal to 0 we get a is equal to 1 b equal to minus 1 and c equal to 2. Now we find b square minus 4 a c we simply put the values of a b and c in this and we get minus 1 the whole square minus 4 into 1 into 2 this is equal to minus 7. Therefore x is equal to 1 plus minus under the root minus 7 the whole divided by 2 into 1. So x is equal to 1 plus minus root 7 Iota divided by 2. Therefore our solution to this question is 1 plus minus root 7 Iota divided by 2. I hope you understood the question and enjoyed the session. Goodbye.