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By completing the square: ax^2 + bx + c = 0 => x^2 + (bx)/a + c/a = 0 (divide both side by a, since a is non-zero) => (x + b/(2a))^2 + c...
First we find two numbers that that add up to -8 and multiply to make 15. In this case the numbers are -3 and -5. This means we can now factorise the quadratic to give (x - 5) (x - 3) = 0. For the above t...
First you need to get the quadratic equation in completed square form. This looks like: (x+p)^2 + q
To put an expression in completed square form you can use this formula: x^2 + 2bx + c = (...
When solving inequalities the first step is to put the unknown, in this case x, on the same side of the inequality sign. Remember when you move values to the other side of a sign they change their charge ...
This is a question regarding inverse proportion. This is when one value increases as the other decreases.
For this question, the equation can be written as:
T ∝ 1/P
The directly propo...
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