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TOPIC: ROOTS OF QUADRATIC EQUATION 1
- Quadratic equation (completing the square and formula method).
- Sum and product of roots of quadratic equation.
- Finding quadratic equation given sum and product of roots, x2 – (sum of roots) + (product) = 0.
- Condition for quadratic equation to have: (i) Equal roots (b2 = 4ac) (ii) Real roots b2 > 4ac (iii) No roots b2 < 4ac
Quadratic equation (completing the square and formula method).
A quadratic equation (trinomial) in one variable is a three termed equation in which the highest power of the variable is two. The general quadratic equation in variable x is of the form ax2 + bx + c = 0 where a ≠ 0.
In general, a quadratic equation has two solutions which may or may not b+e equal.
There are four major methods of solving quadratic equations. They are:
- factorization method;
- completing the square method;
- formula method;
- graphical method.
Solve the following by factorization
- x2 -2x – 8=0
- 15x2 + 14x – 8=0
(a) Product of 1st and 3rd term = -8x2
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