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Maths
GCSE

Solve the quadratic equation: x^2 - 2x - 15 = 0

To solve this, you need to find two factors of -15 that total to give -2. The solution we're looking for is of the for (x + something) (x + something)=0, as you can then solve each bracket to get two resu...

Answered by James H. Maths tutor
3630 Views

What is the value of tan(45)?

From our base right angled triangle (base and height of 1) and remembering SOH CAH TOA ( tangent = opposite/adjacent), we can deduce tan(45) = 1 / 1 = 1

Answered by Bernardo S. Maths tutor
3427 Views

There are 720 boys in a school and 700 girls. The probability that a girl chosen at random studies french is 3/5 and the probability that a boy chosen at random studies french is 2/3. What is the total number of students in the school that study french?

The probability that a girl chosen at random studies french is 3/5. This means that out of 700 girls at the school, three fifths (3/5) girls study french. To find out how many girls study french we must f...

Answered by Zoe P. Maths tutor
2997 Views

Solve by factorisation. 3x^2 + 11x – 20 = 0

Factorisation is a skill learned through a lot of practise. For questions with a coefficient of x, I like to use the 'House Method'.Step 1 - multiply the coefficient of x2 with the constant. =3...

Answered by Peter P. Maths tutor
6355 Views

A)Write x^2 – 8x + 25 in the form (x – a)^ 2 + b. (B) Write down the coordinates of the turning point of the graph of y = x2 – 8x + 25. (C)Hence describe the single transformation which maps the graph of y = x2 onto the graph of y = x2 – 8x + 25.

This is a question about completing the square of a quadratic equation. This is used to find the minimum point on a parabolic graph. A) Step 1 - set up the '(x – a)2' term by dividing the coeff...

Answered by Peter P. Maths tutor
7392 Views

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