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Write x^2+6x-7 in the form (x+a)^2+b where a and b are integers

Complete the square.We want a quadratic we can simplify.Halve the linear term coefficient (6) and square it.Add it to the (x 2 +6x) term and subtract it from the 7.x 2 +6x+(6/2) 2 -7-(6/2) 2 As you can see t...
GB
Answered by George B. • Maths tutor
19182 Views

Write as a single fraction in it's simplest form: 2/(y+3)-1/(y-6)

The aim is to find a common denominator, we first therefore cross multiply to get:(2(y-6)-(y+3))/((y+3)(y-6))After expanding the relevant brackets we are left with:(2y-12-y-3)/((y+3)(y-6))Which is simply:(y-...
JF
Answered by James F. • Maths tutor
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What are the aims of social conservatives, and to what extent have they been achieved? (January 2013)

Social Conservatism ideology is very prevalent in the USA, especially amongst conservatives and Republicans. Social Conservatism is based around the upholding of traditional values and, in politics, social p...
SP
Answered by Sid P. • Politics tutor
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What is overgeneralisation and why do children use it?

Overgeneralisation: applying a regular grammatical rule in an irregular situation Examples of overgeneralisation: "I runn ed ", "he hitt ed ", "you buy ed "In the above examples...
AK
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A curve, C, has equation y =(2x-3)^5. A point, P, lies on C at (w,-32). Find the value of w and the equation of the tangent of C at point, P in the form y =mx+c.

To find the value of w, let x = w and y = -32. Substitute these values into the equation of the curve, C: y = (2x-3)^5 => -32 = (2(w) - 3 )^5. Note: the symbol, =>, means "implies that." Fift...
LM
Answered by Lewis M. • Maths tutor
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