Question

Write the quadratic equation whose roots are negatives of the roots of the equation $x^2-5x+4=0$

Answer 1

Consider $f\left(x\right)=x^2-5x+4=0$

$\therefore$ Required equation$f(-x)={(-x)}^2-5(-x)+4=0$

$\Rightarrow x^2+5x+4=0=0$