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Roots of a Quadratic Equation

If the equati...

Question

If the equation $(a - 2) x^{2} + (b + 3) x + (c - 4) = 0$ has more than two roots then the values of $a, b, c$ is

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Solution

Any quadratic equation can have maximum two roots
so, for more than two roots
$a - 2 = 0 \Rightarrow a = 2$
$b + 3 = 0 \Rightarrow b = - 3$
$& c - 4 = 0 \Rightarrow c = 4$
$t h e r e f o r e a = 2, b = - 3, c = 4$

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