Let a -0- b -0 and c -0 - Then both the roots of the equation 2 ax 2-3 bx -5 c -0A- are real and negativeB- have negative real partsC- none of theseD- have positive real parts

The correct option is B have negative real parts Product of roots is positive i.e. c/a, Sum of roots is negative i.e. b/a. ∴ Both roots are negative. ...

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Standard X

Mathematics

Nature of Roots

Let a >0, b >...

Question

Let a > 0, b > 0 and c > 0. Then both the roots of the equation $2 a x^{2} + 3 b x + 5 c = 0$

are real and negative

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have negative real parts

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have positive real parts

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none of these

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Solution

The correct option is B have negative real parts
Product of roots is positive i.e. $\frac{c}{a}$ , Sum of roots is negative i.e. $\frac{b}{a}$ .
$∴$ Both roots are negative.

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Let a > 0, b > 0 and c > 0. Then both the roots of the equation 2ax2+3bx+5c=0

The correct option is B have negative real parts Product of roots is positive i.e. ca, Sum of roots is negative i.e. ba. ∴ Both roots are negative.

Let a > 0, b > 0 and c > 0. Then both the roots of the equation $2 a x^{2} + 3 b x + 5 c = 0$

The correct option is B have negative real parts
Product of roots is positive i.e. $\frac{c}{a}$ , Sum of roots is negative i.e. $\frac{b}{a}$ .
$∴$ Both roots are negative.