MYTUTOR SUBJECT ANSWERS

349 views

How do I solve the equation x^2 = 3x - 1 ?

First, we need to rearrange the equation into a quadratic. A quadratic equation will always have a squared element. 

To this, we move everything over to the left hand side of the equation and set it equal to zero. (Remember: Change the side, change the sign)
So..
x^2 = 2x - 1

becomes..

x^2 - 2x = - 1
and then..

x^2 - 2x + 1 = 0

One way to solve this equation is by using factorisation.

the equation takes the form.. ax+ bx + c = 0 

we need to find two numbers that add together to make be and multiply together to make a x c.

So, numbers that add to -2 and multiply to 1 x 1 = 1.

These numbers are -1 and -1.

So we can factorise the equation.

Step 1..

x- x - x - 1 = 0

Step 2..

x(x-1) - 1(x-1) = 0

Step 3..

(x-1)(x-1) = 0

So to find x, we simply divide both sides of the equation by (x-1).

Leaving x - 1 = 0, so x = 1.

 

Matthew W. GCSE Maths tutor

2 years ago

Answered by Matthew, a GCSE Maths tutor with MyTutor

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

327 SUBJECT SPECIALISTS

£18 /hr

Emily G.

Degree: Geology (Masters) - Imperial College London University

Subjects offered: Maths, Physics+ 2 more

Maths
Physics
Geology
Geography

“Do you want help with Maths, Physics, Geology or Geography? Or desperately need a dedicated tutor to mentor you through writing your personal statement? Look no further! I’m Emily, studying Geology atImperial College London and wish t...”

MyTutor guarantee

£18 /hr

Becky L.

Degree: Economics (Bachelors) - Warwick University

Subjects offered: Maths, Economics

Maths
Economics

“Hi, I'm Becky and I'm a second year Economics student at the University of Warwick!  About Me I've always loved Maths, but am also pretty creative, too - I think that's why I decided to study economics. I did the 11+, got good grades...”

£18 /hr

James B.

Degree: Mathematics and Economics (Bachelors) - Nottingham University

Subjects offered: Maths, Economics

Maths
Economics

“About me : I am currently studying Maths and Economics at Nottingham University, about to go into my second year. Over the summer I have been in America teaching and counselling kids at a summer camp and I hope to bring what I have le...”

About the author

£18 /hr

Matthew W.

Degree: Combined Honours Economics and History (Bachelors) - Liverpool University

Subjects offered: Maths

Maths

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

MyTutor guarantee

You may also like...

Other GCSE Maths questions

There are "n" sweets in a bag, six are orange and the rest are yellow. If you take a random sweet from the bag and eat it. Then take at random another one and eat it. The probability of eating two orange sweets is 1/3. Show that n²-n-90=0.

How would I solve this set of simultaneous equations using the elimination method?

How do I expand and simplify linear equations?

How do I know the best way to solve a quadratic equation?

View GCSE 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