Find the value of the greater root of x2 + 10x + 24 = 0.

-6

Step-by-step explanation

The GCF for this problem that gives you 10 is 6 and 4

(x^2+6x) (4x+24)

You can factor out a x from the first equation and a 4 from the 2nd, giving you

(x+4) (x+6)

To solve these, you need to make 0. This means you need to subtract 4 from the first and subtract 6 from the 2. The largest is - 6.

The answer is x = - 17