Find the exact solution of the following quadratic equation by using the quadratic formula. x^2-7x= 60 a. {–12, 5} c. {–10, 24} b. {–5, 12} d. {60, 67}

B. {-5, 12}

Step-by-step explanation:

the quadratic equation is given by the formula

x = -b± √b² - 4ac

           2a

where a is the coefficient of x², b is the coefficient of x, and c is the constant

in the equation; x² - 7x -60 = 0

a = 1, b = -7, c = -60

x = -(-7)± √(-7)² - 4*1*-60            (negative sign multiplied by negative sign will                

                    2*1                                a positive sign)

x = 7 ± √49 + 240

               2

x = 7 ± √289

            2

x = 7 ± 17

        2

x= 7 + 17   or    7 - 17

       2                  2

x = 24/2   or    -10/2

x =  12      or     -5

i believe the answer is c.