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If,alpha be the root of equation ax^2+bx...

If,`alpha` be the root of equation `ax^2+bx+c=0` and `beta` be root of `-ax^2+bx+c=0` then prove that there will be a root of the equation `ax^2+2bx+2c=0` lying between `alpha` and `beta`, where a and c are non zero.

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PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
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