Question

solve the quadratic equation by using quadratic formula Y squared + 4 Y + 3 equal to zero​

Answer 1

Question :-

Solve the quadratic equation by using quadratic formula

$\sf{{y}^{2} + 4y + 3 = 0}$

Answer :-

→ y = -1 or -3 .

Solution :-

Given equation is ,

$\rightarrow \sf{ {y}^{2} + 4y + 3 = 0} \\ \\ \rightarrow \sf{ {y}^{2} + 3y + y + 3 = 0} \\ \\ \rightarrow \sf{y(y + 3) + 1(y + 3) = 0} \\ \\ \rightarrow \sf{ (y + 3)(y + 1) = 0} \\ \\ \star \: \sf{case \: (1)} \\ \\ \implies \sf{ y + 3 = 0 }\\ \\ \implies \boxed{ \sf{y = - 3}} \\ \\ \star \: \sf{case \: (2)} \\ \\ \implies \sf{y \: + 1 = 0} \: \\ \\ \implies \boxed{\sf{ y \: = - 1}}$

Therefore ,

→ y = -1 or -3

__________________________________