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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
19386 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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How do you form the future tenses (conditional, futur simple and futur proche)?

The conditional tense is used to describe what would happen in the future, whereas the future tense is what will happen.The futur simple is further in the future, the futur proche is the near future. The Con...
LL
Answered by Lucy L. • French tutor
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Solve the simultaneous equations to find x and y: 2x - 2y = 20, x + 4y = 5

Equation1: 2x - 2y = 20, equation 2: x + 4y = 5 First method (subtraction): Multiply equation1 by 2: 4x - 4y = 40Add the two equations together canceling out the y unknowns: 4x + x = 40 + 5Solve for x: 5x = ...
JS
Answered by John S. • Maths tutor
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'Hitler was able to become Chancellor of Germany in January 1933 mainly because of the effects of the Wall Street crash/ depression'. Do you agree? Explain your answer.

The effects that the Wall Street Crash were important in explaining why people supported the Nazi Party and Hitler was able to gain power in January 1933. In October 1929, after share prices crashed, America...
IP
Answered by India P. • History tutor
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