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What are surds and why are they used?

Surds are irrational numbers that can't be represented accurately as a fraction or reccuring decimal, so they are left as a square root. For example: √ 3 . Calculate the square root of 3 using your calculato...
AO
Answered by Aisling O. • Maths tutor
38086 Views

Solve 6x^2 > 3 - 7x

First put everything to one side, 6x 2 + 7x - 3 > 0 Then factorise the LHS, (3x - 1)(2x + 3) > 0 Get two answers for x, x = 1/3 or x = -3/2 Then work out where the values of x will make the equation ab...
WJ
Answered by William J. • Maths tutor
4204 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 calculate ...
SB
Answered by Sam B. • Maths tutor
5990 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 = ax 2 + 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. x = (-b +- ...
JW
Answered by Jason W. • Maths tutor
13451 Views

How can you expand brackets? e.g: (x-4)(x+7)

The answer is of the form ax 2 +bx+c The a term is found by the product of the coefficients of the x in the brackets. e.g ( 2 x+7)( -4 x+6) would give -8 x 2 . However for this example, we will only use coef...
ST
Answered by Sam T. • Maths tutor
6600 Views