Question

X²-8x-180
By quadratic formula​

Answer 1

Answer: x = 18, x = -10

Explanation:

x² - 8x - 180 = 0

a=1 b=-8 c=-180

Use the quadratic formula:

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

Answer 2

solution set={18,10}

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