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Maths
GCSE

(3 + root(a))(4 + root(a)) = 17 + k(root(a)) where a and k are positive integers. Find the value of a and the value of k.

Let's open out the bracket using the FOIL method (first, outside, inside, last):

(3 + root(a))(4 + root(a)) = 12 + 3root(a) + 4root(a) + (root(a))2 = 12 + 7root(a) + a.

Since the ...

Answered by Abhinav J. Maths tutor
8339 Views

Simplify: 3(x+5)-4(2x+1)

This is a simple question where students need to use BIDMAS to solve the equation. The easiest method is to seperate the two sides and solve individually, then combine. Firstly, 3(x+5) multiplies out to g...

Answered by Magdalena K. Maths tutor
6127 Views

Anna has 6 bananas. Ben has 2.5 times more bananas than Anna. Callum has a third as many bananas as Anna and Ben have together. How many bananas do Anna, Ben and Callum have together?

Anna: 6 bananas. Ben: 6*2.5 = 15 bananas. Callum: (6+15)/3 = 7 bananas Altogether they have 6 + 15 + 7 bananas = 28 bananas

Answered by Avani M. Maths tutor
2470 Views

Solve this equation x^2 +4x - 5

Have you seen anything like this before? 

What do you understand by this equation? 

How do you expand brackets? Grid/smiles and eyebrows 

How confident are you with factors and times ...

Answered by Zeenat M. Maths tutor
3019 Views

Solve the simultaneous equations: 6a + b = 16 and 5a - 2b = 19

Rearrange the first equation to give b as the subject.

b = 16 - 6a

Then substitute that equation for b into the second equation.

5a - 2(16 - 6a) = 19

Simplify this equation (re...

Answered by Francesca L. Maths tutor
3593 Views

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