Class 10 Math All topics Quadratic Equations

If $α$ and $β$ are the roots of the equation $x_{2}−px+q=0,$ then find the equation whose roots are $p−αq $ and $p−βq $

Solution:

Let $p−αq =x$

$⇒α=p−xq $

So, we replace $x$ by $p−xq $ in the equation, we get

$(p−xq )_{2}−p(p−xq )+q=0$

$⇒p_{2}+x_{2}q_{2} −x2pq −p_{2}+xpq +q=0$

$⇒x_{2}q −xp +1=0$

$⇒x_{2}−px+q=0$ is the required equation whose roots are $p−αq $ and $p−βq $

Similar topics

introduction to trigonometry

functions

some applications of trigonometry

quadratic equations

polynomials

introduction to trigonometry

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quadratic equations

polynomials

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