Respuesta :

Answer:

x =(24-√596)/2=12-√ 149 = -0.207

x =(24+√596)/2=12+√ 149 = 24.207

Step-by-step explanation:

Factoring  x2-24x-5

The first term is,  x2  its coefficient is  1 .

The middle term is,  -24x  its coefficient is  -24 .

The last term, "the constant", is  -5

Multiply the coefficient of the first term by the constant   1 • -5 = -5

Find two factors of  -5  whose sum equals the coefficient of the middle term, which is   -24 .

     -5    +    1    =    -4

     -1    +    5    =    4

Two solutions were found :

x =(24-√596)/2=12-√ 149 = -0.207

x =(24+√596)/2=12+√ 149 = 24.207