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Use completing the square to find the minimum of y = x^2 - 4x + 8

Remember completing the square gives a result of the form (x+q) 2 + p where q and p are numbers Also q is always half of the x term, which in this case is -4, as such q = -2 Substituting this in, we get (x-2...
SD
Answered by Sol D. • Maths tutor
3776 Views

2 5/3 + 2 8/9

2 5/3 = 11/32 8/9 = 24/9 = 8/311/3 + 8/3 = 19/3 = 6 1/3
HR
Answered by Huw R. • Maths tutor
3153 Views

Solve the equation 3x^2+2x-3=3.

rearrange the formula so that it is equal to zero by subtracting 3 from both sides of the equation.3x 2 +2x-6=02) To check if this formula can be factorised you can check if the value of b 2 -4ac for this fo...
JB
Answered by Jolie B. • Maths tutor
4750 Views

Find the equation of the tangent to the curve y = 4x^2 (x+3)^5 at the point (-1, 128).

y = 4x 2 (x+3) 5 . Use the product rule to find the first derivative of the curve, 8x(x+3) 5 + 20x 2 (x+3) 4 , and substitute x = -1 to find the gradient at the point (-1, 128). This should be 64. Now substi...
JG
Answered by Jack G. • Maths tutor
3954 Views

How do I use the product rule for differentiation?

You should use the product rule when you have a function f(x), which you can't differentiate straight away. But which can be written in the form f(x)=g(x)h(x), where g(x) and h(x) are functions that you do k...
HV
Answered by Harry V. • Maths tutor
3426 Views