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If n is an integer prove (n+3)^(2)-n^(2) is never even.

Let us begin by simplifying the expression:(n+3)2 - n2 = (n+3)(n+3) - n2= n2 + 6n + 9 - n2 (expanded brackets)= 6n + 9 (collected like terms)= 3(2n+3...

HK
Answered by Hugh K. Maths tutor
6361 Views

For what values of k does the graph y=x^(2)+2kx+5 not intersect the x-axis

Where the graph intersects the x-axis, x2+2kx+5 must be equal to zero. Thus we can answer the equivalent question: For what k does x2+2kx+5 = 0 not have a solution?This is now a simp...

HK
Answered by Hugh K. Maths tutor
28550 Views

Why can metal conduct electricity and heat?

Conduction is possible as delocalised (free) electrons are able to carry a charge and move through the metal.

BH
Answered by Bertie H. Chemistry tutor
6441 Views

What does an organism use energy from respiration for?

In all organisms, allows creation of bigger molecules from smaller ones

In animals, enables muscle contraction

In some animals (mammals and birds), provides heat to maintain...

BH
Answered by Bertie H. Biology tutor
9627 Views

Find all positive integers n such that 12n-119 and 75n-539 are both perfect squares. Let N be the sum of all possible values of n. Find N.

Let 75n - 539 = l^2 and 12n - 119 = k^2 . where n is a natural number.

Multiply 75n - 539 = l^2 by 4 to give 300n - 2156 =4l^2 and 12n - 119 = k^2 by 25 to give 300n - 2975 = 25k^2.

Subtract...

SK
Answered by Soham K. STEP tutor
7846 Views

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