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`

Explanation

Let's solve the given quadratic equations step by step using the method of factorization.

### (i) Solve \( x^2 - 3x - 10 = 0 \)

1. **Identify the coefficients**: Here, \( a = 1 \), \( b = -3 \), and \( c = -10 \).
2. **Find two numbers that multiply to \( ac = -10 \) and add to \( b = -3 \)**: The numbers are \( -5 \) and \( 2 \) because \( -5 \times 2 = -10 \) and \( -5 + 2 = -3 \).
3. **Rewrite the equation**:
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