Q1Written answer
Find the roots of the quadratic equations by using the quadratic formula in each of the following:
- 2 x2 – 3x – 5 = 0
- 5x2 + 13x + 8 = 0
- –3x2 + 5x + 12 = 0
- –x2 + 7x – 10 = 0
- x2 + 2 √2x – 6 = 0
- x2 – 3 √5x + 10 = 0
- (½)x2– √11x + 1 = 0
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Worked solution
The quadratic formula for finding the roots of quadratic equation
ax2 + bx + c = 0, a ≠ 0 is given by,
(i) 2 x2 – 3x – 5 = 0
(ii) 5x2 + 13x + 8 = 0
(iii) –3x2 + 5x + 12 = 0
(iv) –x2 + 7x – 10 = 0
(v) x2 + 2 √2x – 6 = 0
(vi) x2 – 3 √5x + 10 = 0
(vii) (½)x2– √11x + 1 = 0
