Question

factorise by middle tern spilliting 18x^2-153x+250


quality answer needed

Answer 1

 

In general, given a{x}^{2}+bx+cax​2​​+bx+c, the factored form is:

a(x-\frac{-b+\sqrt{{b}^{2}-4ac}}{2a})(x-\frac{-b-\sqrt{{b}^{2}-4ac}}{2a})a(x−​2a​​−b+√​b​2​​−4ac​​​​​)(x−​2a​​−b−√​b​2​​−4ac​​​​​)


2

 

In this case, a=18a=18, b=-173b=−173 and c=250c=250

18(x-\frac{173+\sqrt{{(-173)}^{2}-4\times 18\times 250}}{2\times 18})(x-\frac{173-\sqrt{{(-173)}^{2}-4\times 18\times 250}}{2\times 18})18(x−​2×18​​173+√​(−173)​2​​−4×18×250​​​​​)(x−​2×18​​173−√​(−173)​2​​−4×18×250​​​​​)