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Maths
GCSE

Find the complex solutions for the following equation: -3x^2+4x+4=0

  1. -3x2+4x+4 = 0 using factorisation find the quadratic in the form (-3x+a)(x+b)=0 find two numbers (a and 3b) that have a product of 4 and a sum of 4 a =2 and 3b =2 ➔ a =2 and b =2/3 (-3x+2...
Answered by Charlotte R. Maths tutor
2886 Views

A pyramid has a square base with sides of length 4m and a height 3m. What is the length from one of the base corners to the top of the pyramid?

The student should first draw a diagram of the pyramid, labelling the lengths of the base and the height. The student is not able to solve this problem in one step but must think two steps ahead. The stud...

Answered by Nathan H. Maths tutor
2408 Views

Prove n^3-n is multiple of 6 for all n

factoring gives form n(n+1)(n-1) from here it should be realised that if n is not a multiple of 3 then n-1 is or n+1 is as multiples of 3 go up in 3s. Hence one of the values either n,n-1 or n+1 must be m...

Answered by Adithya N. Maths tutor
5329 Views

A rectangle has the side lengths root6m and root3m, what is the area of the rectangle in its simplest form.

This question explores surds. To find the area of a rectangle we must multiply its two sides together. When multiplying surds we follow the rule that roota x roota = rootaxa, therefore in this case by mul...

Answered by Hanah K. Maths tutor
3840 Views

(9-x)/2 = 2x - 8

(9-x)/2 = 2x - 8 Firstly, we want to multiply both sides by two to get rid of the fraction:9-x = 2(2x - 8)Open up the brackets:9 - x = 4x - 16Finally, we want to get the x's on one side and the numbers on...

Answered by India G. Maths tutor
1964 Views

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