Solve the quadratic equation: 5x2+8x+2

Here you need to use the quadratic formula, it cannot be solved by expanding out the brackets. In the formulae for which can be found on the formulae sheet. In this case a=5, b=8 and c=2.

This gives: x=(-8±√(82-(4x5x2)))/(2x5)

This simplifies to x=(-8±√24)/10

The plus or minus sign shows there are two possible solutions.
For x=(-8+√24)/10, x=0.3
For x=(-8-√24)/10, x=-1.3

Liam P. A Level Biology tutor, GCSE Biology tutor, GCSE Maths tutor

1 year ago

Answered by Liam, a GCSE Maths tutor with MyTutor

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


£18 /hr

Rhiannon M.

Degree: Environmental Geoscience (Bachelors) - Durham University

Subjects offered:Maths, Geology+ 2 more


“Third year Earth Sciences student at Durham; specialise in geochemistry and tutor in Earth sciences, Chemistry and Maths”

Trusted by schools

|  4 completed tutorials

£18 /hr

Vlad B.

Degree: Mathematics (Masters) - Bath University

Subjects offered:Maths, Further Mathematics

Further Mathematics

“Hi! I am studying Mathematics at Bath University and I am passionate about teaching, and learning mathematics.”

MyTutor guarantee

|  1 completed tutorial

£18 /hr

Tinashe M.

Degree: Chemical Engineering MEng (Integrated Masters) - Newcastle University

Subjects offered:Maths, Chemistry


“I love maths, chemistry and biology and my passion for these subjects is something that will help teach students.”

MyTutor guarantee

About the author

Liam P.

Currently unavailable: for regular students

Degree: Biological Sciences with integrated masters (Masters) - Durham University

Subjects offered:Maths, Biology


“A little bit about me I am currently studying for my masters in Biology at the University of Durham. In the coming year I will be working on modelling the effect of climate change on migratory birds. I found studying bird migration fa...”

MyTutor guarantee

You may also like...

Posts by Liam

Describe how different environmental factors affect the direction of root and shoot growth in plants. You should refer to the role of plant hormones.

Explain what is meant by codominant alleles.

Solve the quadratic equation: 5x2+8x+2

Work out the ratio between the surface area of sphere of radius 6cm and the total surface area of a hemisphere of radius 9cm.

Other GCSE Maths questions

Find the volume and surface area of a cylinder, of length 20cm and radius 5cm.

How do you solve simultaneous equations?

The formula for finding the circumference of a circle is Equation: C = 2(pi)r . What can we do if we know the circumference but want to know the radius?

Q = P / (R (4-t)), P=36, R= 3, t=-2

View GCSE 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