**(1) x ^{2} – 15x + 54 = 0**

**Solution:**

**(2) x ^{2} + x – 20 = 0**

**Solution:**

**(3) 2y ^{2} + 27y + 13 = 0**

**Solution:**

**(4) 5m ^{2} = 22m + 15**

**Solution:**

**(5) 2x ^{2} – 2x + ½ = 0**

**Solution:**

(2x – 1) (2x – 1)

2x – 1 = 0

x = ½, ½

Hence x = ½, ½ are the roots of the equation

**(6) 6x -2/x = 1**

**Solution:**

**(7) √2 x ^{2} + 7 x + 5 √2 = 0 to solve this quadratic equation by factorization, complete the following activity.**

**(8) 3x ^{2} – 2 √6 x + 2 = 0**

**Solution:**

**(9) 2m (m-24) = 50**

**Solution:**

**(10) 25m ^{2} = 9**

**Solution:**

**(11) 7m ^{2} = 21m**

**Solution:**

**(12) m ^{2} – 11 = 0**

**Solution:**