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Degree: Mathematics (G100) (Bachelors) - Warwick University

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Hi! My name is Maisie and I'm studying Mathematics at Warwick University. My aim is to share my passion of maths with my students and to boost my students' self-confidence and self-esteem.  I am friendly, patient and I will adapt the sessions to fit the individual students needs. The sessions will be a fun and interesting learning experience and questions and discussions are very much encouraged! If you have any questions feel free to send me a message or book a 'Meet the Tutor Session'. Remember to include your exam board and details of what bits you're struggling with the most. I look forward to meeting you!

#### Subjects offered

SubjectQualificationPrices
Further Mathematics A Level £20 /hr
Maths A Level £20 /hr
Further Mathematics GCSE £18 /hr
Maths GCSE £18 /hr

#### Qualifications

MathsA-levelA2A*
Further MathsA-levelA2A*
PhysicsA-levelA2A*
 CRB/DBS Standard No CRB/DBS Enhanced No

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### Factorise and solve: x^2 - 8x = -15

Step 1: The first step is to rewrite the equation in the form ax2 + bx + c  = 0. So in this case, we achieve this by adding 15 to both sides:    x2 - 8x + 15 = -15 + 15                                           x2 - 8x + 15 = 0 Step 2: Now we need to factorise the equation. To factorise this eq...

Step 1: The first step is to rewrite the equation in the form ax2 bx + c = 0. So in this case, we achieve this by adding 15 to both sides:    x2 - 8x + 15 = -15 + 15
x- 8x + 15 = 0

Step 2: Now we need to factorise the equation. To factorise this equation we start with finding two numbers which add up to -8 and multiply to make 15. These numbers must be -5 and -3. So the factorisation of this equation is:                       (x - 5)(x - 3) = 0

Step 3: Finally, we can solve by saying:
x - 5 = 0 or  x - 3 = 0, so
x = 5 or x = 3

CHECK:  You can check your two answers, 5 and 3, by subsituting them into the orginal equation, x- 8x = -15.
So firstly for x = 5:              (5)2 - 8(5) =  -15
25   - 40   =  -15
-15   =  -15 which is clearly true, so we have confirmed that x = 5 is a solution.
We can proceed in exactly the same way for x = 3, and if you try it you will find that it works out and we can confirm that x = 3 is a solution too.

NEAT ANSWER: Here is an example what you should write in the exam to get full marks:
x2 - 8x = -15
x2 - 8x + 15 = 0
(x - 5)(x - 3) = 0
So, x = 5 or x = 3

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10 months ago

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