Home
Class 10
MATHS
Find the roots of the following quadrati...

Find the roots of the following quadratic equations by the factorisation method.
`3x^(2)+5sqrt(5)x-10=0`

Text Solution

AI Generated Solution

To find the roots of the quadratic equation \(3x^2 + 5\sqrt{5}x - 10 = 0\) using the factorization method, follow these steps: ### Step 1: Identify the coefficients The quadratic equation is in the standard form \(ax^2 + bx + c = 0\), where: - \(a = 3\) - \(b = 5\sqrt{5}\) - \(c = -10\) ...
Promotional Banner

Topper's Solved these Questions

  • QUADRIATIC EQUATIONS

    NCERT EXEMPLAR ENGLISH|Exercise LONG ANSWER TYPE|12 Videos

  • QUADRIATIC EQUATIONS

    NCERT EXEMPLAR ENGLISH|Exercise VERY SHORT ANSWER|16 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

Find the roots of the following quadratic equations by the factorisation method. 2x^(2)+5/3x-2=0

Find the roots of the following quadratic equations by the factorisation method. 2/5x^(2)-x-3/5=0

Find the roots of the following quadratic equations by the factorisation method. 3sqrt(2)x^(2)-5x-sqrt(2)=0

Find the roots of the following quadratic equations by the factorisation method. 21x^(2)-2x+1/21=0

Solve the following quadratic equations by factorization method. x^2+2sqrt(2)x-6=0

Find the roots of the following quadratic equations by factorisation : (i) x^(2)-3x-10=0 (ii) 2x^(2)+x-6=0 (iii) sqrt2x^(2)+7x+5sqrt2=0 (iv) 2x^(2)-x+(1)/(8)=0 (v) 100x^(2)-20x+1=0 (vi) 2x^(2)+az-a^(2)=0

Solve the following quadratic equation by factorization method only: \ x^2+2x+5=0

Find the roots of the following quadratic equation: 2/5x^2-x-3/5=0

Find the roots of the quadratic equation 6x^2-x-2=0 .

Find the roots of the following quadratic equations by factorisation: (i) x^2-3x-10=0 (ii) 2x^2-x-6=0 (iii) sqrt(2)x^2+7x+5sqrt(2)=0 (iv) 100 x^2-20 x+1=0 (v) 100 x^2-20 x+1=0