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Express the equation x^2+6x-12 in the form (x+p)^2+q

To work out the value of p, half the x coefficient EG:6/2=3. Then work out the square EG: (x+3)^2=x^2+6x+9. To work out the value for q, place the constant of the original equation equal to the constant of t...
IS
Answered by Isabel S. • Maths tutor
7550 Views

An ordinary, fair sided dice is rolled 480 times. How many times is the number 3 expected?

An ordinary dice has six sides. We have an equal chance to roll on any of these six sides. This gives us the probability of rolling a 3 (or any other number) as 1/6.Each roll is independent i.e the result of...
LP
Answered by Louis P. • Maths tutor
6945 Views

How do I solve a quadratic equation: x^2-5x+6=0

When solving a quadratic equation, you have two options. Take the general form ax^2+bx+c=0Method 1: Solution by FactorisingWhen the numbers involved look fairly simple, look for a way to factorise the quadra...
NC
Answered by Naomi C. • Maths tutor
4818 Views

Expand and Simplify: (x+2)(x+3)(x−3)

(x+2)(x+3)(x−3)(x 2 + 3x + 2x + 6)(x - 3) : Step 1 is to expand the first two brackets. (x 2 + 5x + 6)(x - 3) : Step two is to simplify the quadratic. x 3 -3x 2 +5x 2 -15x+6x-18 : Then expand the quadratic w...
AH
Answered by Alex H. • Maths tutor
10142 Views

Let n be an integer greater than 1. Prove that n^2 - 2 - (n-2)^2 is an even number.

To show a number N is even, we must be able to express it in the form N = 2x for some other whole number x. Let's try to manipulate the given expression to see if we can put it in this form. By expanding the...
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Answered by Sam L. • Maths tutor
18531 Views