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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 (x²+6x) term and subtract it from the 7.x²+6x+(6/2)²

Answered by George B. • Maths tutor

17748 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:...

Answered by James F. • Maths tutor

6551 Views

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, socia...

Answered by Sid P. • Politics tutor

2412 Views

What is overgeneralisation and why do children use it?

Overgeneralisation: applying a regular grammatical rule in an irregular situation Examples of overgeneralisation: "I runned", "he hitted", "you buy<...

Answered by Alycia K. • English Language tutor

18369 Views

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." F...

Answered by Lewis M. • Maths tutor

3995 Views