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Solve for x: 2x^2 = 5x + 12

The first step to solving any equation is to work out what kind of equation it is. As this particular equation has only x's and numbers, and it has a x 2 term, we know that it is quadratic.Now that we know t...
SP
Answered by Samuel P. • Maths tutor
6087 Views

Solve the simultaneous equations A and B: [A] 2x + y = 18 [B] x - y = 6

[A] 2x + y = 18 [B] x - y = 6Rearrange [A] to make y the subject 2x + y = 18minus 2x| y = 18 - 2xReplace the value y in [B] with the rearranged [A] x - (18 - 2x) = 6expand brackets| x - 18 + 2x = 6 simplify|...
NY
Answered by Nichol Y. • Maths tutor
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Jon and Nik share money in the ratio 5 : 2 Jon gets £150 more than Nik. How much money do they share altogether?

If we forget about the £150 more for a second then we can think of some very basic scenarios where the 5 : 2 ratio is satisfied. For example, Jon has £5 Nik has £2 or Jon has £10 Nik has £4 and so on. From t...
WS
Answered by William S. • Maths tutor
7891 Views

How do you prove the chain rule?

Given the problem f(x)=(y+x)^5 we use the chain rule as a tool to find the derivative. However, it is difficult to use effectively in further problems without understanding the mechanics of the function. F(x...
EC
Answered by Ella C. • Maths tutor
4685 Views

A curve has the equation y = 2x cos(3x) + (3x^2-4) sin(3x). Find the derivative in the form (mx^2 + n) cos(3x)

y = 2x cos(3x) + (3x 2 -4) sin(3x) dy/dx = (2x x -sin(3x) x 3) + (2 x cos(3x)) + (6x sin(3x)) + ((3x 2 -4) cos(3x) x 3) dy/dx = -6x sin(3x) + 2 cos (3x) + 6x sin(3x) + (9x 2 -12) cos(3x) dy/dx = (9x 2 -12 + ...
TL
Answered by Thomas L. • Maths tutor
9446 Views