577 views

### Solve x^2 + 4x + 4 = 0

To solve this equation we have two different methods:

1) We can solve this method 'by hand' and is done by knowing how to factorise the quadratic and is done by looking at the equation given to us to find hints that will help solve it.

(x " first symbol " a) (x " second symbol" b) = 0

WIthout going too in depth:

the second symbol "+" tells us that the two symbols in our answer are the same

the first symbol "+" combined with the knowledge of second symbol "+" tells us that the two symbols in our answer are both "+"

next we know "a" times "b" = 4 and "a" + "b" = 4 so we find numbers that match this description e.g. 2 and 2 and so we have found our answer

x^2 + 4x + 4 = 0 = (x+2)(x+2)

and so x = -2

(-b +- sqrt(b^2 - 4ac))/2

This method is simpler and requires you to only plug in the numbers in the correct place of the formula, the a, b and c from the formula come from the general equation: ax^2 + bx + c which all quadratic formulas can be related to.

e.g.) ax^2 + bx + c and so a = 1, b = 4 c = 4 in our example

and our result is -2

1 year ago

Answered by King Him , a GCSE Maths tutor with MyTutor

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

#### 806 SUBJECT SPECIALISTS

£24 /hr

Degree: Biological Sciences with a Year in Industry/Research (Bachelors) - Imperial College London University

Subjects offered:Maths, Chemistry+ 1 more

Maths
Chemistry
Biology

£18 /hr

Degree: MSc Financial Analysis and Fund Management (Masters) - Exeter University

Subjects offered:Maths, Economics

Maths
Economics

£24 /hr

Degree: Medicine (Bachelors) - Queen's, Belfast University

Subjects offered:Maths, Chemistry+ 6 more

Maths
Chemistry
Biology
.UKCAT.
.LNAT.
-Personal Statements-
-Medical School Preparation-

“Durham law graduate and current first year medical student with four years tutoring experience.”

Currently unavailable: for new students

Degree: Computer Science (Masters) - Durham University

Subjects offered:Maths, Chemistry

Maths
Chemistry

“Hello there! I am a Computer Science undergraduate studying at Durham University. I am very enthusiastic about the understanding of scientific concepts and also the core ideas and building blocks of subjects. I have been tutoring duri...”

MyTutor guarantee

|  30 completed tutorials

### You may also like...

#### Other GCSE Maths questions

If x+y=100, x is a square number and y is a prime number, find the values of x and y.

Solve the following equation by factorisation: x^2 - 2x -15 = 0

What is the difference between a parametric equation and a general equation?

Write x^2 – 10x + 12 in the form (x – a)^2 + b , where a and b are integers.

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