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Maths
GCSE

Express x^2+4x-12 in the form (x+a)^2 +b by completing the square.

Completing the square of a function is sometimes used to find the stationary points on a curve, and also to solve when equaling zero. To complete the square firstly we have to halve the middle value of th...

Answered by Imogen B. Maths tutor
5277 Views

Simplify (3x^2-8x-3)/(2x^2-6x)

(3x + 1)/(2x)I would use the whiteboard to explain the process

Answered by Romeo E. Maths tutor
2135 Views

Find the roots of the equation (x^2+5x+4)/(x^2-3x+2)

Finding the root means finding the solution when the equation is equal to zero, so when (x^2+5x+4)/(x^2-3x+2)=0. This happens when the numerator x^2+5x+4 is equal to zero so we have to find the roots. To ...

Answered by Charlotte S. Maths tutor
2068 Views

A shopkeeper compares the income from sales of a laptop in March and in April. The price in April was 1/5 more than in March. The number sold in April was 1/4 less than in March. By what fraction does income decrease from March to April?

Price in March = a Price in April = a x 1.2 = 1.2aNumber sold in March= b Number sold in April = b x 0.75 = 0.75bIncome = Price x Number soldIncome in March = abIncome in April = 0.9abDecrease is ...

Answered by Robert H. Maths tutor
7735 Views

Solve the simultaneous equations: 5x + y = 21, x - 3y = 9

5x + y = 21x - 3y = 9First, multiply the equation one by 3 so we can cancel out the y's.15x + 3y = 63 (we've now multiplied this by 3)x - 3y = 9Now we can add the two equations together, thus adding 3 and...

Answered by Sebastian P. Maths tutor
2434 Views

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