Question

Consider the function f(x) = x^2 - 10x - 24. Given that one of the solutions of the function is x = -2, what is the other solution of the func​

Answer 1

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 =  $x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}$

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$x = \frac{-(-10) +- \sqrt{(-10)^2 - 4(1)(24)} }{2(1)}$ , which is the same as

$x = \frac{10 + \sqrt{100 - 24(4)} }{2}$

and

x = $x = \frac{10 - \sqrt{100 - 24(4)} }{2}$

The top part simplifies to $\frac{10 + \sqrt{100 - 72} }{2} = \frac{10 + 6}{2} = 5$, which is your answer.

Answer 2

Another solution is x=12.

Have a great day ^_^