MYTUTOR SUBJECT ANSWERS

285 views

The quadratic equation 2x^2 + 8x + 1 = 0 has roots a and b. Write down the value of a + b, a*b and a^2 + b^2.

Using Vieta's formulas, which make the correspondence between the sums and products of the roots of a polynomial and its coefficients, we can deduce that a + b = (-8)/2 = -4, a*b = 1/2 =0.5 and a^2 + b^2 = (a+b)^2 - 2*ab = (-4)^2 - 2*0.5 = 16 - 1 = 15. 

Andreea I. Uni Admissions Test .MAT. tutor, Uni Admissions Test .STEP...

10 months ago

Answered by Andreea, an A Level Maths tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

179 SUBJECT SPECIALISTS

£20 /hr

Tom V.

Degree: Mechanical Engineering (Masters) - Leeds University

Subjects offered: Maths, Physics

Maths
Physics

“About MeHello! I'm Tom, I'm in my first year studying mechanical engineering at the University of Leeds. I've always loved sicence, being particularly drawn to physics and maths from a young age. I loved the methodical, logical appro...”

£20 /hr

Jan K.

Degree: Mathematics and Music (Bachelors) - Edinburgh University

Subjects offered: Maths, Physics

Maths
Physics

“About Myself I am a Mathematics student at Edinburgh University. I have a real passion for Mathematics, and I thouroughly enjoy explaining mathematical concepts to others. Having been home-educated all through school (which also gave ...”

MyTutor guarantee

£20 /hr

Isabel R.

Degree: Mathematics (Bachelors) - Manchester University

Subjects offered: Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“I am currently a first year studying Mathematics at the University of Manchester-so A Levels and GCSEs are still fresh in my mind when it comes to remembering how I learnt the material myself. In school I mentored GCSE students in Mat...”

MyTutor guarantee

About the author

£20 /hr

Andreea I.

Degree: Mathematics and Computer Science (Masters) - Oxford, Merton College University

Subjects offered: Maths, .STEP.+ 1 more

Maths
.STEP.
.MAT.

“Top tutor from the renowned Russell university group, ready to help you improve your grades.”

MyTutor guarantee

You may also like...

Posts by Andreea

By use of calculus, show that x − ln(1 + x) is positive for all positive x.

How many distinct real roots does the equation x^3 − 30x^2 + 108x − 104 = 0 have?

The quadratic equation 2x^2 + 8x + 1 = 0 has roots a and b. Write down the value of a + b, a*b and a^2 + b^2.

Other A Level Maths questions

What are the set of values for x that satisfy the below equation?

Find the tangent to the curve y=x^3+3 at the point x=1.

How would I integrate the indefinite integral x^2 dx?

Using the addition formula for sin(x+y), find sin(3x) in terms of sin(x) and hence show that sin(10) is a root of the equation 8x^3 - 6x + 1

View A Level Maths tutors

Cookies:

We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok