<span>If you have the equation </span>x2<span> + 2x - 3 = 0 </span><span>You can factor the quadratic to get </span><span>(x - 1)(x + 3) = 0 </span><span>and hence the roots </span><span>x = 1 and x = -3 </span> <span>Conversely, if you have the roots x = 1 and x = -3 you can recover the quadratic equation by forming (x - 1)(x + 3) = 0. </span> <span>(x - 5 - 3i)(x - 5 + 3i) = 0 </span><span>which simplifies to </span>x2<span> - 10x + 34 = 0 </span> hope this helped :) alisa202