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Solve x² - 3x - 2 = 0

To complete the square for the equation ax² + bx + c = 0 there are three steps.. 1. In order to complete the square, we need to take the first two parts of the quadtratic equation, and put them in the for...

Answered by Natalia M. • Maths tutor

9510 Views

Use the equation 2(x+4) + 6(x-1) = 14, to find x.

Firstly, you need to get rid of any brackets. You do this by expanding them. This becomes 2x + 8 + 6x - 6 = 14.

The next step is to get all the x's on one side, and all the numbers on the other. Yo...

Answered by Ursula R. • Maths tutor

3151 Views

Find dy/dx for y = x^3e^xcos(x)

In this problem, we see that y is a product of 3 functions of x. That means that in order to find dy/dx we need to use the product rule. The product rule tells us that in this case we should differentiate...

Answered by Lyudmil N. • Maths tutor

9670 Views

Solve x² ≥ | 5x - 6 | (Question from AQA Core 3 June 2016)

To solve this question we can break it down in to a multiple small stages.

The first thing to tackle is the use of modulus around 5x - 6. This effectively means we have two equations to solve:

Answered by James H. • Maths tutor

6409 Views

Solve the simultaneous equations (1) x + 3y = 7 and (2) 2x + y = 4

It's impossible to solve an equation with two unknowns (x and y) so we must find a way to get rid of either x or y before solving an equation. Using substitution rearrange the equation 1 so x is the only ...

Answered by Simon S. • Maths tutor

4118 Views