Question

Determine whether x=1 is a root of quadratic equation X² + 4x -5 or not​

Answer 1

Step-by-step explanation:

$\begin{gathered}x^2+4x−5=0 \\ ⟹x^2+4x=5 \\⟹x^2+4x+4=9 \\ ⟹(x)^2+2(x)(2)+(2)^2=(3)^2 \\⟹(x+2)^2=(3)^2 \\ ⟹x+2=3 \\ ⟹x=3−2=1 \\ \end{gathered} </p><p>$

$\begin{gathered}Check: \\ x^2+4x−5=(1)^2+4(1)−5 \\=1+4−5=5−5=0 \\ LHS = RHS, \: therefore \: correct.\end{gathered}$