3x² + 5√5x - 10 = 0, find the roots of the quadratic equation by the factorisation method

Solution:

Given, the quadratic equation is 3x² + 5√5x - 10 = 0.

We have to find the roots of the equation by factorisation method.

On factoring,

3x² + 6√5x - √ 5x - 10 = 0

3x(x + 2√5) - √5(x + 2√5) = 0

(3x - √5)(x + 2√5) = 0

Now, 3x - √5 = 0

3x = √5

x = √5/3

Also, x + 2√5 = 0

x = -2√5

Therefore, the roots of the equation are -2√5 and √5/3.

✦ Try This: Determine the roots of the equation 3x² + x - 2 = 0 by factorisation method

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 4

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NCERT Exemplar Class 10 Maths Exercise 4.3 Problem 2 (iv)

3x² + 5√5x - 10 = 0, find the roots of the quadratic equation by the factorisation method

Summary:

The roots of the quadratic equation 3x² + 5√5x - 10 = 0 by the factorisation method are -2√5 and √5/3

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