Question

4x^2-17x-15=0. Solve by factorization method. Plz help me

Answer 1

$\sf{ \underline{ \underline{Question}}}$

• $\sf{Factorise\:the\: equation}$

$\sf{ \underline{ \underline{Answer}}}$

• $\sf{ -5\:,\:\dfrac{-3}{4}}$

$\sf{ \underline{ \underline{Solution}}}$

$\mapsto\sf{4\ x^{2}-17x-15\:=\:0}$

$\mapsto\sf{4\ x^{2}-20x+3x-15\:=\:0}$

$\mapsto\sf{4x(x-5)+3(x-5)\:=\:0}$

$\mapsto\sf{(x-5)(4x+3)\:=\:0}$

$\sf{x+5\:=\:0}$$\sf{4x+3\:=\:0}$

$\sf{x\:=\:-5}$$\sf{x\:=\:\dfrac{-3}{4}}$

$\sf{ \boxed{ \boxed{x\:=\:-5\:,\:\dfrac{-3}{4}}}}$