Join TSR now and get all your revision questions answeredSign up now

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

    • Thread Starter

    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)

    You have the sum of the new roots as  \displaystyle \frac{1}{\alpha ^2} + \frac{1}{\beta ^2} .
    Add these two fractions as you normally would add any fractions and give it in terms of  (\alpha +\beta ) and  \alpha \beta as you already know the values of.
Do you have exam superstitions?
Help with your A-levels

All the essentials

The adventure begins mug

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.

Uni match

Uni match

Our tool will help you find the perfect course for you

Study planner

Create a study plan

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

Study planner

Resources by subject

Everything from mind maps to class notes.

Hands typing

Degrees without fees

Discover more about degree-level apprenticeships.

A student doing homework

Study tips from A* students

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

Study help links and info

Can you help? Study help unanswered threadsRules and posting guidelines

Sponsored content:



Find out how a Higher Education Achievement Report can help you prove your achievements.

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Quick reply
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.