Solve quadratic equation x2+(pp+q+p+qp)x+1x2+(pp+q+p+qp)x+1 =0=0 using factorization.
Answer:
x=−pp+q or x=−p+qpx=−pp+q or x=−p+qp
- LHS=x2+pp+qx+p+qpx+1⟹x2+pp+qx+p+qpx+1×pp+q×p+qp⟹x(x+pp+q)+p+qp(x+pp+q)⟹(x+pp+q)(x+p+qp)=0⟹x=−pp+q or −p+qp
- Hence, x=−pp+q or x=−p+qp.