lf a + b + c=0, then the roots of the equation 4ax2+3bx+2c=0 are

# lf a + b + c=0, then the roots of the equation $4{\mathrm{ax}}^{2}+3\mathrm{bx}+2\mathrm{c}=0$ are

1. A

equal

2. B

imaginary

3. C

real

4. D

None of these

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### Solution:

Given, a, + b + c=0 ………………..(i)
and $4{\mathrm{ax}}^{2}+3\mathrm{bx}+2\mathrm{c}=0$
$\begin{array}{r}\because D={b}^{2}-4ac\\ \therefore D=\left(3b{\right)}^{2}-4\left(4a\right)\left(2c\right)\\ =9{b}^{2}-32ac\end{array}$

Hence, roots are real.

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