Home
Class 10
MATHS
The quadratic equation 2x^(2)-sqrt5x+1=0...

The quadratic equation `2x^(2)-sqrt5x+1=0` has
(a) two distinct real roots (b) two equal real roots
(c) no real roots (d) more than 2 real roots

A

two distinct real roots

B

two equal real roots

C

no real roots

D

more than 2 real roots

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    OSWAL PUBLICATION|Exercise Assertion and Reason Based MCQs|8 Videos

  • QUADRATIC EQUATIONS

    OSWAL PUBLICATION|Exercise Case-Based MCQs|15 Videos

  • QUADRATIC EQUATIONS

    OSWAL PUBLICATION|Exercise BOARD CORNER (Long Answer Type Questions)|8 Videos

  • PROBABILITY

    OSWAL PUBLICATION|Exercise Self Assessment|66 Videos

  • REAL NUMBERS

    OSWAL PUBLICATION|Exercise Self-Assessment |11 Videos

Similar Questions

Explore conceptually related problems

The quadratic equation 2x^(2) + x + 4 has ………real roots

The quadratic equation ax^(2)+bx+c=0 has real roots if:

(x^(2)+1)^(2)-x^(2)=0 has (i) four real roots (ii) two real roots (iii) no real roots (iv) one real root

Let f(x)=x^3+x^2+10x+7sinx, then the equation 1/(y-f(1))+2/(y-f(2))+3/(y-f(3))=0 has (A) no real root (B) one real roots (C) two real roots (D) more than two real roots

If (x)=ax^(2)+bx+c&Q(x)=-ax^(2)+dx+c,ac!=0P(x)=ax^(2)+bx+c&Q(x)=-ax^(2)+dx+c,ac!=0 then the equation P(x)*Q(x)=0 has (a) Exactly two real roots (b) Atleast two real roots (c)Exactly four real roots (d) No real roots

Suppose a, b, c are real numbers, and each of the equations x^(2)+2ax+b^(2)=0 and x^(2)+2bx+c^(2)=0 has two distinct real roots. Then the equation x^(2)+2cx+a^(2)=0 has - (A) Two distinct positive real roots (B) Two equal roots (C) One positive and one negative root (D) No real roots

Find the values of p for which the equation x^(4)-14x^(2)+24x-3-p=0 has (a) Two distinct negative real roots (b) Two real roots of opposite sign (c) Four distinct real roots (d) No real roots

The equation e^(sin x)-e^(-sin x)-4=0 has (A) infinite number of real roots (B) no real roots (C) exactly one real root (D) exactly four real roots

If the equation x^(2)-kx+1=0 has no real roots then

If roots of the quadratic equation bx^(2)-2ax+a=0 are real and distinct then