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Find the stationery points of x^3 + 3x^2 - 24x + 7 and determine whether the slope is increasing or decreasing at x=3.

i) We must differentiate the equation and set it equal to 0 to find stationery points:
dy/dx = 3x2 + 6x + 24=0 Note we can take out a factor of 3 x2+ 2x - 8=0 Fact...

MM
Answered by Michael M. Maths tutor
1646 Views

Solve the simultaneous equations: x2 + y2 = 20, 3x=2-y

x = -4/5 or 2
y = 22/5 or -4

IA
Answered by Ishtiaq A. Maths tutor
6028 Views

Factorise fully 20x^2 - 5

When factorising an expression, you first want to find the highest common factor in each term of the expression. Here, our terms are 20 and 5. The highest common factor here is 5, so we want to take 5 out...

Answered by Maths tutor
9845 Views

Factorise x^2+5x+6

When factorizing a quadratic equation you need to try and find 2 numbers that add up to give the 2nd term and times together to give the 3rd term. We can find these 2 numbers by looking at the factors of ...

OG
Answered by Oscar G. Maths tutor
3700 Views

Solve x^2+2x-8=0

x=-4, x=2When you see a quadratic equation like this, the first thing you should try and do is factorise it. You need to find two numbers that add together to make the second term of the equation - in thi...

KB
Answered by Kate B. Maths tutor
10683 Views

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