You are Here: Home >< A-levels

# Quadratics with new roots. Create new quadratic from given roots (Alpha and Beta)

Announcements
1. Hello guys, could I get some help with this question? Please :
Create new quadratic equation with new roots of 1/ALPHA^2 and 1/BETA^2 (1/ means 1 over as in a fraction)
From given equation: 5x^2 -2x +4 =0.
I think I have to first find the sum and product of actual roots then use the values for the new roots sum and product.
I did that and I am still getting the wrong answer, in the back of the book the correct answer is 16x^2 + 36x +25 =0 (way different than what I get)
2. You have the sum of the new roots as .
Add these two fractions as you normally would add any fractions and give it in terms of and as you already know the values of.

## Register

Thanks for posting! You just need to create an account in order to submit the post
1. this can't be left blank
2. this can't be left blank
3. this can't be left blank

6 characters or longer with both numbers and letters is safer

4. this can't be left empty
1. Oops, you need to agree to our Ts&Cs to register

Updated: October 4, 2016
TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Today on TSR

Is this true?

Poll

## All the essentials

### Student life: what to expect

What it's really like going to uni

### Essay expert

Learn to write like a pro with our ultimate essay guide.

### Create a study plan

Get your head around what you need to do and when with the study planner tool.

### Resources by subject

Everything from mind maps to class notes.

### Study tips from A* students

Students who got top grades in their A-levels share their secrets