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Solve the simultaneous equations x+2y=4 and x-3y=6

This can be solved in two ways, by substitution or by elimination.Firstly, by substitution, rearrange the first of the two equations in terms of x by subtracting 2y from both sides to get x=4-2y. Then plu...

Answered by Hamish M. Maths tutor
5660 Views

a circle c has the equation x^2 + y^2 -4x + 10y = k. find the center of te circle

you would first change the equaton into the circle equation therefore completing the square (x -2)^2 -4 + (y + 5)^2 -25 = know use the equation to deduce the center of the circle (x -2)^2 + (y + 5)^2 = ...

Answered by Maths tutor
7542 Views

a curve has an equation: y = x^2 - 2x - 24x^0.5 x>0 find dy/dx and d^2y/dx^2

dy/dx = 2x -2 - 12x^-0.5d^2/dx^2 = 2 + 6 x^-3/2

Answered by Maths tutor
2618 Views

Solve (x-1)^2-2(x-1)-3=0

Solving this equation would mean finding the values of x that satisfy it equating to zero. Therefore, to start, you must simplify the equation by expanding all the values to get (x^2-2x+1)-(2x-2)-3=0 [exp...

Answered by Emily L. Maths tutor
3173 Views

Solve the equation x^6 + 26x^3 − 27 = 0

While this equation may look complicated, it's actually much easier than it looks - this equation is called a hidden quadratic. This is because it can be rewritten and solved the same way you would solve ...

Answered by Saachi P. Maths tutor
4251 Views

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