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Maths
GCSE

Work out the gradient of the tangent to the curve (y=x^2-x-2) at the point where x=2

y=x^2-x-2y=(x+1)(x-2)The gradient (dy/dx) measures the rate of the change in y with respect to x. So this can be used to help us find the gradient of a function at any point along it. The question asks th...

OG
Answered by Oriane G. Maths tutor
3720 Views

How do you factorise the algebraic expression x^2 +5x+ 6?

Factorising is all about writing algebraic expressions using brackets, to separate x terms.(x + ... )(x +... ) when multiplying out the brackets there will be an x2 term, an x term and a numeri...

JC
Answered by Jessica C. Maths tutor
2737 Views

Find the values of x given the equation (4x^2)-3x+1=2 using the quadratic formula.

4x2-3x+1=2The first step is to rearrange the equation, equating it to zero: 4x2-3x+1-2=0 which gives 4x2-3x-1=0. Next we apply the quadratic formula: x=(-...

SM
Answered by Shahnaan M. Maths tutor
3111 Views

Expand (t+5)(t-2)

FOIL stands for First,Outer,Inner and Last. This is the order of multiplying the terms from each set of brackets.First terms give: t x t=t2Outer terms give: t x -2=-2tInner terms give: 5 x t=5t...

OS
Answered by Ollie S. Maths tutor
3584 Views

solve this simultaneous equation: 4x+ y = 12 , 2x+ y = 8

 4x+ y = 12 , 2x+ y = 81) find the unknown (either x or y) that has the same coefficient. - In this example it is y2) Take away the equations from one another so you only have 1 unknown - 2x = 43) Divide ...

NS
Answered by Natasha S. Maths tutor
2831 Views

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