Solve this quadratic equation using the quadratic formula. 2x 2 - 10x + 7 = 0

x₁ = 5 + √11

         2

x₂ = 5 - √11

          2

Step-by-step explanation:

quadratic formula is given by

x = -b ±√b² - 4ac

             2a

a = 2, b = -10, c = 7

x = -(-10) ± √-10² - 4*2*7

                  2*2

x = 10 ± √100 - 56

           4  

x = 10 ± √44   = 2(5 ± √11)  = 5 ± √11

             4                   4               2

x₁ = 5 + √11

           2

x₂ = 5 - √11

           2

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