Question

Find out any two values of m so that the roots of x^2+mx-24=0 are integers and write those equations ​

Answer 1

Answer:

Step-by-step explanation:

Integer solutions are often found in a somewhat straighfoward manner (i.e. in factorised, two factors form), as such:

(x+12)(x-2)=0 By null factor law, x=-12, 2, which are integer roots

(x+8)(x-3)=0 By null factor law, x=-8,3, which are integer roots too

Expanding them yields the following:

x^2+10x-24=0 , thus m=10

x^2+5x-24=0, thus m=5

There can be other combinations too, which is evident based on the nature of factorisation, which gives other possible m values