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The quadratic equation (k+1)x^2 + (5k - 3)x + 3k = 0 has equal roots. Find the possible values of k

We know the discriminant (b^2 - 4ac) must be equal to zero for an equation to have equal roots (think about the fact that the square root of this is taken in the quadratic equation). So we can form the eq...

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Answered by Molly I. Maths tutor
6421 Views

Particles P and Q move in a plane with constant velocities. At time t = 0 the position vectors of P and Q, relative to a fixed point O in the plane, are (16i - 12j) m and -5i + 4j) m respectively. The velocity of P is (i + 2j) m/s and the velocity of Q

is (2i + j) m/s. Find the shortest distance between P and Q in the subsequent motion. This is an m4 question from the edexcel June 2015 paper. First I would explain to the student that I would form an equ...

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Why does an electric drill heat up when passing through metal compared to in thin air?

To understand why the drill produces more heat we must understand Lenz's law. Lenz's law states that the direction of an induced current is always such as to oppose the change that causes the current. In ...

Answered by Physics tutor
4311 Views

'There are two adults and two children in the Adams family. They buy an all-day travel ticket for each person. The price is £8 for each adult and £5 for each child. They also buy 4 ice-creams at £1.95 each. How much do they spend in total?'

So the Adams family consists of 2 adults and 2 children. We know that all-day ticket for an adult is £8. Therefore the price for 2 adults would be:£8 x2 = £16. We also know that an all-day ticket for a ch...

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Answered by Mukilan B. Maths tutor
2532 Views

How does context effect the way in which we view literary works?

We should always aim to consider the context surrounding a literary work, so we need to consider the period in which is was written and who it was written by. This allows further analytical depth,...

Answered by English Literature tutor
3536 Views

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