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Solve the following equation by completing the square: x^2 + 6x + 3 = 0.

Completing the square is a method of solving quadratic equations that cannot be easily factorised, without having to use the quadratic formula. The first step is to look at the coefficient of the second t...

EC
Answered by Emma C. Maths tutor
25775 Views

How do you work out the equation for a line?

In order to work out the equation for a line, you need the gradient of the line and the coordinates of a point on the line. To find the gradient on the line, you look at two points on the line and calcula...

SB
Answered by Sam B. Maths tutor
5365 Views

How do I remember the coefficients of a Taylor expansion?

If it's not sticking in your head; don't. I find it's easier to just remember what the point of a Taylor expansion is: to express a function as an infinite polynomial, often because polynomials are ea...

SR
Answered by Steven R. Maths tutor
4892 Views

Given log3(3b + 1) - log3(a-2) = -1 for a > 2. Express b in terms of a.

We can start by recognising one of our properties of log. That is loga(x) - loga(y) = loga(x/y). Performing this on our question we get: log3((3b+1)/(a-2)) = -1...

JW
Answered by Jason W. Maths tutor
15552 Views

Solve 2x^2 - 3x - 1 = 0, using the quadratic formula. Give your answer to two decimal places.

To start, let us recall the form of a quadratic equation. y = ax2 + bx + c. When making x the subject of the formula and setting y = 0, we get the quadratic formula, as you may have seen before...

JW
Answered by Jason W. Maths tutor
12366 Views

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