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f(x)=x^2-(m-3)x+m=0 is a quadratic equat...

`f(x)=x^2-(m-3)x+m`=0 is a quadratic equation, find values of m for which
roots are opposite in sign

Text Solution

Verified by Experts

`D=(m-3)^2-4m=m^2-10m+9gt0forall m in(-infty,1) cup(9,infty)`
Let `alpha, beta` be the roots.
`Dgt0,alphabetalt0`
`implisemgt0` `"so m" in(0,1]`
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PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
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  7. If,alpha be the root of equation ax^2+bx+c=0 and beta be root of -ax^2...

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