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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 o...

IS
Answered by Isabel S. Maths tutor
6820 Views

two balls of similar size masses m and 2m are moving at speeds u and 2u along a frictionless plane, they collide head on and are reflected, assuming that the coefficient of restitution of this collision is 1, what the speeds are afterwards in u

ball A has mass m and velocity u. ball B has mass 2 m and velocity 2uby conservation of momentum:mu - 4mu = mv + 2mx (1)where v is the velocity of ball A and x is the velocity of ball B after collision.by...

WA
Answered by William A. Maths tutor
3373 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...

LP
Answered by Louis P. Maths tutor
6247 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 qua...

NC
Answered by Naomi C. Maths tutor
4039 Views

Expand and Simplify: (x+2)(x+3)(x−3)

(x+2)(x+3)(x−3)(x2+ 3x + 2x + 6)(x - 3) : Step 1 is to expand the first two brackets. (x2+ 5x + 6)(x - 3) : Step two is to simplify the quadratic. x3-3x2+5x

AH
Answered by Alex H. Maths tutor
9297 Views

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