Question

X²-8x-180By quadratic formula​

Answer 1

Answer:

solution set={18,10}

Step-by-step explanation:

x²-8x-180

comparing the above equation with the standard quadratic ax²+bx+c=0 equation,we get

here a=1 and b=-8 and c=-180

the quadratic formula is

x=-b±√(b)²-4ac/2a

putting values in the quadratic equation

x=-(-8)±√(-8)²-4(1)(-180)/2(1)

x=8±√64+720/2

x=8±√784/2

either

x=8+√784/2                               or      x=8-√784/2

x=8+28/2                                     or       x=8-28/2

x=36/2                                      or           x=-20/2

x=18                                       or                  x=-10

solution set = {18,-10}   

i hope it will help you    

Answer 2

Answer:  x = 18, x = -10

Step-by-step explanation:

 x² - 8x - 180 = 0

a=1  b=-8 c=-180

Use the quadratic formula:

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(1)(-180)}}{2(1)}\\\\\\.\quad =\dfrac{8\pm \sqrt{64+720}}{2}\\\\\\.\quad =\dfrac{8\pm \sqrt{784}}{2}\\\\\\.\quad = \dfrac{8\pm 28}{2}\\\\\\.\quad =\dfrac{8+28}{2}\qquad or\qquad \dfrac{8-28}{2}\\\\\\.\quad =\ \dfrac{36}{2}\qquad \ or\ \qquad \dfrac{-20}{2}\\\\\\\large\boxed{x = 18\qquad or \qquad x=-10}$