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

5

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 = (-b +- √(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 = (-(-10) +- √((-10)^2 - 4(1)(24)) )/(2(1))` , which is the same as

`x = (10 + √(100 - 24(4)) )/(2)`

and

x =
`x = (10 - √(100 - 24(4)) )/(2)`

The top part simplifies to
`(10 + √(100 - 72) )/(2) = (10 + 6)/(2) = 5`, which is your answer.