Answer:
5
Step-by-step explanation:
You want me to let you in on a secret? There's a simple equation that you can use to solve any quadratic problem in a minute or two.
It's the quadratic formula
x = [tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]
The +- means that you will do this two times, the first time you will do -b + sqrt(b^2-4ac), and the second time you will do minus that.
a is the coefficient of the first term in the expression, b is the second and c is the third.
so we get[tex]x = \frac{-(-10) +- \sqrt{(-10)^2 - 4(1)(24)} }{2(1)}[/tex] , which is the same as
[tex]x = \frac{10 + \sqrt{100 - 24(4)} }{2}[/tex]
and
x = [tex]x = \frac{10 - \sqrt{100 - 24(4)} }{2}[/tex]
The top part simplifies to [tex]\frac{10 + \sqrt{100 - 72} }{2} = \frac{10 + 6}{2} = 5[/tex], which is your answer.
