Which of the following equation has the sum of its roots as 2

5 x^{2} - \frac{2}{5} x - 3 = 0

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x^{2} - 2 x - 5 = 0

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2 x^{2} - 2 x + 1 = 0

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3 x^{2} - 2 x + 7 = 0

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Solution

The correct option is D $x^{2} - 2 x - 5 = 0$
In equation $a x^{2} + b x + c = 0$
sum of root = $\frac{- b}{a}$
Then $x^{2} - 2 x x + 1 = 0$ the sum of roots= $\frac{- (- 2)}{1} = 2$
Then option(B) is $x^{2} - 2 x + 1 = 0$

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Similar questions

Q. Which of the following equations has the sum of its roots as 3?

(a) x² + 3x − 5 = 0

(b) −x² + 3x + 3 = 0

Q. Question 5
Which of the following equations has the sum of its roots as 3?
(a)

2 x^{2} - 3 x + 6 = 0

(b)

- x^{2} + 3 x - 3 = 0

(c)

\sqrt{2} x^{2} - \frac{3}{\sqrt{2}} x + 1 = 0

(d)

3 x^{2} - 3 x + 3 = 0

Question 5
Which of the following equations has the sum of its roots as 3?
(a) $2 x^{2} - 3 x + 6 = 0$
(b) $- x^{2} + 3 x - 3 = 0$
(c) $\sqrt{2} x^{2} - \frac{3}{\sqrt{2}} x + 1 = 0$
(d) $3 x^{2} - 3 x + 3 = 0$

Find the equation whose roots are reciprocals of the roots of $2 x^{2} + 5 x + 4 = 0$ .

Question 9
Which of the following equation has two distinct real roots?
(a) $2 x^{2} - 3 \sqrt{2} x + \frac{9}{4} = 0$
(b) $x^{2} + x - 5 = 0$
(c) $x^{2} + 3 x + 2 \sqrt{2} = 0$
(d) $5 x^{2} - 3 x + 1 = 0$

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Which of the following equation has the sum of its roots as 2

The correct option is D x2−2x−5=0In equation ax2+bx+c=0sum of root =−baThen x2−2xx+1=0 the sum of roots=−(−2)1=2Then option(B) is x2−2x+1=0

The correct option is D $x^{2} - 2 x - 5 = 0$
In equation $a x^{2} + b x + c = 0$
sum of root = $\frac{- b}{a}$
Then $x^{2} - 2 x x + 1 = 0$ the sum of roots= $\frac{- (- 2)}{1} = 2$
Then option(B) is $x^{2} - 2 x + 1 = 0$