A quadratic equation is an equation of the form ax

^{2}+ bx + c = 0.

Each quadratic equation has 2 roots. The roots of the quadratic equation can be found out either by factorizing the equation or by using a formula.

If r

_{1}and r

_{2}are the roots of the quadratic equation, then

r

_{1}= (-b + root(b

^{2}- 4ac))/2a

r

_{2}= (-b - root(b

^{2}- 4ac))/2a

Here is a typical question in quadratic equation

**Question**

If 8 and 6 are the roots of a quadratic equation, then the equation is

(1) x

^{2}+ 14x + 48 = 0

(2) x

^{2}- 14x + 48 = 0

(3) x

^{2}+ 14x - 48 = 0

(4) x

^{2}- 14x - 48 = 0

(5) x

^{2}+ 48x + 14 = 0

If we are given the roots of a quadratic equation, i.e., r

_{1}and r

_{2}, then the quadratic equation is (x - r

_{1})(x - r

_{2}) = 0.

We know that the roots of equation are 8 and 6.

Hence, the equation is (x - 8)(x - 6) = 0

or x

^{2}- 14x + 48 = 0

## No comments:

Post a Comment