Respuesta :

I think The answer is 2


ricchad

Answer:

a = 5 ;  a = 2

Step-by-step explanation:

solve for a from the given equation: 7a - 6 = a² + 4

a² - 7a + 10 = 0

the equation can be solved using quadratic equation: ax² + bx + c = 0

x₁,₂ = - b ± √(b² - 4ac)

                2a

where a = 1

           b = -7

           c = 10

now, plug in values into the formula:

a₁,₂ = - (-7) ± √(-7² - 4(1)10)

                  2(1)

a₁   = 7 + 3   = 10  =  5

            2          2

a₂   = 7 - 3   = 4  =  2

           2          2

therefore, the answer to the equation is:

a = 5 ;  a = 2

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