CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Continuity in an Interval

148.The coeff...

Question

148.The coefficient of the quadratic equationax2+(a+d)x+(a+2d)=0ax2+(a+d)x+(a+2d)=0are consecutive terms of a positively valued, increasing arithmetic sequence. Then the least integral value ofd/ad/asuch that the equation has real solutions is __________.

Open in App

Solution

Suggest Corrections

thumbs-up

1

Similar questions

Q. The number of integral values of

a

such that the quadratic equation

4 a x^{2} + 5 x + a = 0

has two distinct real roots

x_{1}

x_{2}

, satisfying the inequality

| x_{1} - x_{2} | < 1

Q. For a positive integer

n

, the quadratic equation

x (x + 1) + (x + 1) (x + 2) + . . . . . . + (x + n - 1) (x + n) = 10 n

has two consecutive integral solutions, then n is equal to.

The value of p for which the quadratic equation $2 p x^{2} + 6 x + 5 = 0$ has real and distinct roots is :

Q. For a positive integer n, if the quadratic equation, x(x + 1) + (x + 1) (x + 2) + ....+ (x + n – 1)(x + n) = 10n has two consecutive integral solutions, then n is equal to

Q. If, for a positive integer

n,

the quadratic equation,

x (x + 1) + (x + 1) (x + 2) + \dots + (x + n - 1) (x + n) = 10 n

has two consecutive integral solutions, then

n

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Continuity in an Interval

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Continuity in an Interval

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon