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(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 answer 17 + k(root(a)) is i...
AJ
Answered by Abhinav J. • Maths tutor
10387 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 give...
MK
Answered by Magdalena K. • Maths tutor
7151 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
AM
Answered by Avani M. • Maths tutor
3369 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 tables? How is a square num...
ZM
Answered by Zeenat M. • Maths tutor
3952 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 (remembering to take account of th...
FL
Answered by Francesca L. • Maths tutor
5061 Views