MYTUTOR SUBJECT ANSWERS

744 views

Solve x^2 - 6x - 2=0 giving your answer in simplified surd form.

SInce the question requires simplified surd form, it makes sense to use the quadratic formula immediately for this question.

This would give us

x = 6 [+-] squareroot(36-(4x1x-2)) / 2

which simplifies to

x= 6 [+-] squrt(44) / 2

look at the square root: is 44 divisible by a square number? Yes: 44=4x11

This means that we can make

squrt(44)=squrt(4x11)=squrt(4)xsqurt(11) = 2xsqurt(11)

Which turns our equation for x into:

x = 6 [+-] 2xsqurt(11) / 2

The numerator and denominator share a factor of 2 so

x = 3 [+-] squrt(11) which is in simplified surd form

Molly B. A Level Maths tutor, 11 Plus Maths tutor, 13 plus  Maths tut...

1 year ago

Answered by Molly, an A Level Maths tutor with MyTutor


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

259 SUBJECT SPECIALISTS

Sahil M. A Level Biology tutor, GCSE Biology tutor, A Level Chemistry...
£22 /hr

Sahil M.

Degree: Medicine (Bachelors) - Manchester University

Subjects offered:Maths, Spanish+ 3 more

Maths
Spanish
Chemistry
Biology
-Medical School Preparation-

“Hello! My name is Sahil and I am currently a medical student at the University of Manchester. I am really looking forward to tutoring you in Spanish, Chemistry, Biology or Maths as well as trying to help you during the difficult proce...”

Timothy N. A Level Design & Technology tutor, GCSE Design & Technolog...
£26 /hr

Timothy N.

Degree: Architecture and Environmental Engineering (Masters) - Nottingham University

Subjects offered:Maths, Science+ 3 more

Maths
Science
Physics
Design & Technology
-Personal Statements-

“Hi there, I have a passion for helping students achieve, and believe that with my years of experience tutoring, we will be able to surpass the grades you want!”

£20 /hr

Ioannis P.

Degree: Computer Science (Bachelors) - Warwick University

Subjects offered:Maths

Maths

“Maths and Computer Science are both my passion. Having tutored students in the past, they think that my methods seem very intuitive and natural; you will too.”

About the author

Molly B.

Currently unavailable: for new students

Degree: Mathematics (Bachelors) - Exeter University

Subjects offered:Maths, Biology

Maths
Biology

“About Me: I am a maths student at the University of Exeter and have a genuine love for my subject, which I hope my tutorials will instill in you too. I tutored Cores 3 and 4 of A level during my own exams, and helped my tutee to atta...”

You may also like...

Posts by Molly

Solve 7(k-3)=3k-5

Solve the inequality 6y+5>8?

Solve x^2 - 6x - 2=0 giving your answer in simplified surd form.

Use logarithms to solve 9^x=15

Other A Level Maths questions

How could I sketch a graph of y=2x^3-3x^2?

What is an easy way to remember how sin(x) and cos(x) are differentiated and integrated?

The curve C has the equation y = 2x^2 -11x + 13. Find the equation of the tangent to C at the point P (2, -1).

How do I differentiate a trigonometric function for something that is not just a single variable (e.g. d/dx (sin(3x))?

View A Level Maths tutors

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

mtw:mercury1:status:ok