Question

How do you transform a rational algebraic equation into a quadratic equations? Explain and give example

Answer 1

Given:

A rational algebraic equation.

To Find:

How do you transform a rational algebraic equation into a quadratic equations? Explain and give example.

Solution:

Since, we know that-

Basically, general form of the quadratic equation is $ax^2+bx+c=0$ where,

a≠0 and a, b and c all are constants.

Now , if we are given with a rational algebraic equation then , to transform it into quadratic equation , we have to

• Firstly, we have to multiply both the sides of rational algebraic equation by the lcm (least common multiple) of all the denominator.
• Secondly, we have to write the resulting quadratic equation into the standard (general) form of the quadratic equation i.e., $ax^2+bx+c=0$.  

for example-

$(1/4 )x^2+(1/2)x+3=0\\\\(1/4)x^2\times 4+(1/2)x\times4+3\times4=0\times4\\\\x^2+2x+12=0$