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2x + y = 1, x^2 + y^2 = 1

1 : 2x + y = 1 y = 1 - 2x2 : x^2 + (1-2x)^2 = 1 x^2 + (1-2x)(1-2x) = 1 x^2 + 1 - 2x - 2x + 4x^2 = 1 5x^2 - 4x + 1 = 1 5x^2 - 4x = 0 x(5x - 4) = 0 x = 0, x = 4/5 y = 1, y = -3/5

Answered by Josh T. Maths tutor
2167 Views

Prove that the square of an odd number is always 1 more than a multiple of 4.

Recap, what is 'squaring a number'? Multiplying a number by itself, for example, 3 x 3 = 9. The question hasn't given us a specific number, hence that value can be any number, it is said to be a 'variable...

Answered by Florence O. Maths tutor
2631 Views

Solve the equation to 2 two decimal places: (2x+3/x-4 ) - (2x-8/2x+1) = 1

 (2x+3/x-4 ) - (2x-8/2x+1) = 1 (2x+3/x-4) = 1 + (2x-8/2x+1) [Add (2x-8/2x+1) to each side]2x+3= x-4 + (2x-8)(x-4)/2x+1 Times both sides by (x-...

Answered by Jude K. Maths tutor
2892 Views

Simplify a^4 x a^5

Question = Simplify a4 x a5-------------------------------------------So here we have two 'groups' of a being multiplied together. We can rewrite a4 and a5 as t...

Answered by Finn A. Maths tutor
5886 Views

A circle with diameter 6cm is cut from a square with side length 7cm. What is the remaining area of the square? You may assume pi = 3 for this question.

This is an example of a question that may appear in a calculator paper. In this question the area of the square and circle must be found individually, and the area of the circle subtracted from the area o...

Answered by Louis K. Maths tutor
2447 Views

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