Home
Class 10
MATHS
State whether the following quadratic eq...

State whether the following quadratic equations have two distinct real roots. Justicy your answer:
`x^(2)-3x+4=0`

Text Solution

AI Generated Solution

To determine whether the quadratic equation \( x^2 - 3x + 4 = 0 \) has two distinct real roots, we will follow these steps: ### Step 1: Identify coefficients The standard form of a quadratic equation is given by: \[ ax^2 + bx + c = 0 \] For the equation \( x^2 - 3x + 4 = 0 \): ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • QUADRIATIC EQUATIONS

    NCERT EXEMPLAR ENGLISH|Exercise SHORT ANSWER TYPE|12 Videos

  • QUADRIATIC EQUATIONS

    NCERT EXEMPLAR ENGLISH|Exercise LONG ANSWER TYPE|12 Videos

  • QUADRIATIC EQUATIONS

    NCERT EXEMPLAR ENGLISH|Exercise LONG ANSWER TYPE|12 Videos

  • POLYNOMIALS

    NCERT EXEMPLAR ENGLISH|Exercise Long Answer Type Questions|6 Videos

  • REAL NUMBERS

    NCERT EXEMPLAR ENGLISH|Exercise LONG ANSWER TYPE QUESTIONS|5 Videos

Similar Questions

Explore conceptually related problems

State whether the following quadratic equations have two distinct real roots. Justicy your answer: 3x^(2)-4x+1=0

State whether the following quadratic equations have two distinct real roots. Justicy your answer: (x+4)^(2)-8x=0

State whether the following quadratic equations have two distinct real roots. Justicy your answer: 2x^(2)+x-1=0

State whether the following quadratic equations have two distinct real roots. Justicy your answer: 2x^(2)-6x+9/2=0

State whether the following quadratic equations have two distinct real roots. Justicy your answer: (x+1)(x-2)+x=0

State whether the following quadratic equations have two distinct real roots. Justicy your answer: x(1-x)-2=0

State whether the following quadratic equations have two distinct real roots. Justicy your answer: (x-1)(x+2)+2=0

State whether the following quadratic equations have two distinct real roots. Justicy your answer: sqrt(2)x^(2)-3/(sqrt(2))x+1/(sqrt(2))=0

State whether the following quadratic equations have two distinct real roots. Justicy your answer: (x-sqrt(2))^(2)-2(x+1)=0

Find the nature of the roots of the following quadratic equations. If the real roots exist, find them: (i) 2x^2-3x+5=0 (ii) 3x^2-4sqrt(3)x+4=0 (iii) 2x^2-6x+3=0

Home
Profile