Using factorization, solve x^2 + 10x + 24 = 0

MYTUTOR SUBJECT ANSWERS

Answers / Maths / GCSE / Using factorization, solve x^2 + 10x + 24 = 0

800 views

Using factorization, solve x^2 + 10x + 24 = 0

To factorize the equation we need to find two numbers a and b such that

a * b = 24 and

a + b = 10

By closely looking at those, we find that 4 and 6 satisfy both conditions, as

6 + 4 = 10 and

6 * 4 = 24

The next step is to split the middle term 10x into 6x + 4x, getting

x^2 + 6x + 4x + 24 = 0

Now we group the first two and the last two terms

x(x + 6) + 4(x + 6) = 0 Therefore,

(x+6)(x+4) = 0

For this to be true, at least one of the brackets needs to be 0.

For x + 6 = 0 we get x = -6

For x + 4 = 0 we get x = -4

Therefore, the set of solutions is S = {-6, -4}

Sebastian-Stefan S. GCSE Computing tutor, GCSE Physics tutor, GCSE Ma...

2 years ago

Answered by Sebastian-Stefan, who has applied to tutor GCSE Maths with MyTutor

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

803 SUBJECT SPECIALISTS

View profile

£20 /hr

Ayokansola A.

Degree: Civil and Structural Engineering with a Year in Industry (Masters) - Sheffield University

Subjects offered:Maths, Spanish+ 4 more

“About Me: Hello! I am a Civil Engineering student at the University of Sheffield. I have always had a natural incline towards all things Maths and Science, so without a doubt, my genuine passion for the subjects’ I am offering will be...”

4.9

37 reviews | 152 completed tutorials

Save profile

Luke S. GCSE History tutor, 13 Plus History tutor, A Level History t...

View profile

£18 /hr

Luke S.

Degree: Philosophy, Politics and Economics (Bachelors) - Oxford, Worcester College University

Subjects offered:Maths, Spanish+ 5 more

“I am an aspiring teacher, with a clear and analytic approach to tutoring that comes from an extensive and varied educational background.”

5.0

7 reviews | 10 completed tutorials

Save profile

Laura K. A Level Chemistry tutor, IB Chemistry tutor, GCSE Chemistry ...

View profile

£20 /hr

Laura K.

Degree: Chemical Engineering (Masters) - Bath University

Subjects offered:Maths, Science+ 3 more

“Hey there! I am Laura and I am currently studying Chemical Engineering at University of Bath. I am really passionate about Science and I am willing to share my knowledge through tutoring you. My passion and expertise in science can be...”

5.0