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Maths
GCSE

Show that the function f(x) = x^2 + 2x + 2 is always positive for real values of x

By completing the square we find that f(x) = x2 + 2x + 2 = (x+1)2 + 1Since (x+1)2 is a number that has been squared, it must be greater than or equal to zero. Therefore, f...

Answered by Bradley C. Maths tutor
5374 Views

Draw the graph y = x2 + 3x + 2

y = x2 + 3x + 2 Finding the y intercept:When x = 0, y = 2 Therefore y intercept is at (0,2)Finding x intercept:Method 1: Factorise y = x2 + 3x + 2 y = (x+1)(x+2)x intercepts are when...

Answered by George R. Maths tutor
2952 Views

How do you use the quadratic formula?

The equation for the quadratic formula is x = (-b +/- √(b^2 - 4ac))/2a for when the equation ax^2 + bx + c is equal to 0. When you have the equation ax^2 + bx + c, where a, b and c are gi...

Answered by Isla B. Maths tutor
2095 Views

Simplify: 5x + 8y - 3x + 9y

When you first come across algebra, it may be a bit tricky to get your head around as it involves more abstract concepts than we may have previously seen in maths. However, once you understand the basic p...

Answered by Katharine S. Maths tutor
3144 Views

Write sqrt(75) in simplified surd form.

First you want to find a square number that is a factor of 75. In this case it is 25, as 25 x 3 = 75 . With this information you can expand the surd into:sqrt(25) x sqrt(3)
As 5^2 = 25, this can beco...

Answered by Kate G. Maths tutor
3883 Views

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