The sum of roots of the equation x-1x-2-x-3x-4-x-5x-6-x-9x-10-0 isA- 11B- -11C- 55D- -55

The correct option is B 11 The eqn is 5x^2 + x (1+2+3+4……10) + (1.2+3.4+5.6+7.8+9.10) = 0 Sum of roots = (b/a) Hence sum of roots of the given equation is = ...

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Standard IX

Mathematics

Inequalities Involving Mathematical Means

The sum of ro...

Question

The sum of roots of the equation $(x + 1) (x + 2) + (x + 3) (x + 4) + (x + 5) (x + 6) + \dots . (x + 9) (x + 10) = 0$ is

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-11

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-55

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Solution

The correct option is B
-11

The eqn is $5 x^{2} + x (1 + 2 + 3 + 4 \dots \dots 10) + (1.2 + 3.4 + 5.6 + 7.8 + 9.10) = 0$
Sum of roots $= - (\frac{b}{a})$
Hence sum of roots of the given equation is $= - (\frac{55}{5})$

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The sum of roots of the equation (x+1)(x+2)+(x+3)(x+4)+(x+5)(x+6)+….(x+9)(x+10)=0 is

The correct option is B -11 The eqn is 5x2+x(1+2+3+4……10)+(1.2+3.4+5.6+7.8+9.10)=0 Sum of roots =−(ba) Hence sum of roots of the given equation is =−(555)

The sum of roots of the equation $(x + 1) (x + 2) + (x + 3) (x + 4) + (x + 5) (x + 6) + \dots . (x + 9) (x + 10) = 0$ is

The correct option is B
-11

The eqn is $5 x^{2} + x (1 + 2 + 3 + 4 \dots \dots 10) + (1.2 + 3.4 + 5.6 + 7.8 + 9.10) = 0$
Sum of roots $= - (\frac{b}{a})$
Hence sum of roots of the given equation is $= - (\frac{55}{5})$