Question

factorise 6x^2+5x-6 please tell wantone ​

Answer 1

$i) \: In \: this \:case \: use \: the \: \bold{Stevin \: Product }\\ \\\rightarrow \: 6x^{2}+5x-6\\\rightarrow \: (x+k)(x+w) , in \: this \: example \: \bold{k} \: and \: \bold{w} \: are \:roots\\of \: equation:\\ \\ii) \: Solve \: the \: discriminant\\\rightarrow \: \Delta =25-4.6(-6)\\\rightarrow \: \Delta =169\\...\: Find \: \boxed{\bod{x}}\\ \\x=\frac{-b\:\pm\: \sqrt{\Delta}}{2.a}$

$\rightarrow \:x=\frac{-5 \: \pm \:13}{12}\\\\\therefore \: \boxed{x'=-\frac{3}{2}} \: or \: \boxed{x''=\frac{2}{3}}$

$iii) \: Therefore\\\\\rightarrow \: (x+x')(x+x'')=0\\ \\\rightarrow \: (x-\frac{3}{2})(x+\frac{2}{3})=0\\ \\\rightarrow \: (\frac{2x-3}{2})(\frac{3x+2}{3})=0\\ \\\therefore \: \boxed{\boxed{\boxed{\bold{(2x-3)(3x-2)=6x^{2}+5x-6}}}}$