MYTUTOR SUBJECT ANSWERS

392 views

Solve the inequality 4x^2​>5x-1

We first rearrange the inequality to obtain

4x2-5x+1>0

Initially we approach this as if it were 4x2-5x+1=y, looking for y=0

We then look for solutions, the most general way is to use the quadratic formula, but often we can see factors immediately.By use of the quadratic formula, x<(-b+sqrt(b2-4ac))/2a we get 1 and from x=(-b-sqrt(b2-4ac))/2a we obtain 1/4. 

solutions to 4x2-5x+1=0 are therefore x=1,1/4

If we plug a value between these into the equation, say x=1/2 we have y=-1/2 and thus the inequality is solved by x<1/4 and x>1

Christopher L. A Level Further Mathematics  tutor, A Level Maths tuto...

2 years ago

Answered by Christopher, an A Level Maths tutor with MyTutor


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

176 SUBJECT SPECIALISTS

£20 /hr

Joshua B.

Degree: Mathematics (Masters) - Durham University

Subjects offered: Maths, Further Mathematics

Maths
Further Mathematics

“About me: Hi! I’m Josh, a second year at Durham University on a four-year Mathematics course. I’ve always loved Maths, and I’ve always excelled at it, too. I got100% in both my Maths IGCSE and A-Level. Not only did I do Further Maths,...”

£20 /hr

Solomon L.

Degree: Mathematics (Bachelors) - Leeds University

Subjects offered: Maths, Further Mathematics

Maths
Further Mathematics

“Currently studying at Leeds university, ready to help you improve your grades in Maths and Chemistry GCSE! ”

£20 /hr

Prina S.

Degree: Environmental Geoscience (Masters) - Bristol University

Subjects offered: Maths, Physics+ 2 more

Maths
Physics
Geography
Biology

“Hello there! My name is Prina and I'm a first year Environmental Geoscience at the University of Bristol. My love for science was instilled in me by those who taught me and I hope to share my passion in the same way through exciting an...”

MyTutor guarantee

About the author

£20 /hr

Christopher L.

Degree: Mathematics (Bachelors) - Newcastle University

Subjects offered: Maths, Further Mathematics

Maths
Further Mathematics

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

MyTutor guarantee

You may also like...

Other A Level Maths questions

Do the following vector equations intersect? l = (1 + μ)i + (2 - μ)j + (2μ - 5)k, and m = 2λi + 3j + (2 + λ)k.

A line has an equation y = e^(2x) - 10e^(x) +12x, find dy/dx

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.

Write tan(3x) in terms of tan(x). Hence show that the roots of t^3 - 3t^2 - 3t + 1 = 0 are tan(pi/12), tan(5pi/12) and tan(3pi/4)

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