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we can use the quadratic formula to find the exact solutions of quadratics that we cant factorize so remember the quadratic formula is the values of X are minus B plus or minus the square root of b squared minus 4ac all of that is over 2a and this is true for the quadratic ax squared plus BX plus C is equal to zero so lets make use of this in solving some quadratics and were going to do it giving an exact solution for our quadratic equations so in this first example we are asked to solve this quadratic here giving our answer in exact form so first of all we need to identify a B and C now a is the coefficient of x squared which is 1 B is the coefficient of x which is -2 and C is the number by itself which is minus 2 so now substituting this into our formula we have x equals minus B so thats minus minus 2 plus or minus the square root of B squared so minus 2 squared minus 4a is 1 and C is minus 2 and all of it is over 2a which is 2 times 1 so now dealing with all of that and simplif