Question

Complete the following activity to verify the root of given equation.
x2 + 4x – 5 = 0 for this quadratic equatiom​

Answer 1

Step-by-step explanation:

${x}^{2} + 4x - 5 = 0 \\ {x}^{2} + 5x - x - 5 = 0 \\ x(x + 5) - 1(x + 5) = 0 \\ (x + 5)(x - 1) = 0 \\ x = - 5 \: or \: x = 1 \\ \\ at \: x = - 5 \\ {( - 5)}^{2} + 4( - 5) - 5 = 0 \\ 25 - 20 - 5 = 0 \\ 25 - 25 = 0 \\ \\ at \: x = 1 \\ {(1)}^{2} + 4(1) - 5 = 0 \\ 1 + 4 - 5 = 0 \\ 5 - 5 = 0$

Roots verified!