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Find the values of k for which the equation (2k-3)x^2- kx+(k-1)=0 has equal roots.

For a quadratic to have equal roots, the value of the discriminant (b2-4ac) =0. This means that the quadratic formula yields only one result (or two equal roots), since x=(-b ±0)/2a , thus if a...

Answered by Henry K. Maths tutor
9925 Views

How do I rationalise the denominator? (Surds)

If you have a fraction where the denominator is a surd, such as 5/(1+sqrt(2)), you need to multiply the denominator by another number so that it becomes a a whole number. If you multiply either the denomi...

Answered by Leanne C. Maths tutor
2665 Views

factorise: 3x^2+13x-30

(3x-5)(x+6)factors of 90 (3x30): 1x90, 6x15, 9x10, 5x18and add up to 13 can only be 5 and 1818-5=13 5/3 or 18/3=6 and 5x6=30so must be (3x-5)(x+6) and check by expanding with FOIL method

Answered by Mary S. Maths tutor
2756 Views

Why is it that the sum of all natural numbers up to n is 1/2(n)(n+1)?

First let's consider the case of even numbers. Suppose n is even, then it must be double some other number, so we have:
n = 2k
Where k is another natural number. We want to find out what:
1...

Answered by Ibrahim M. Maths tutor
2984 Views

Bob buys a car for £120 after it is reduced by 20% in the sale. What was the original price of the car?

£120 is the price of the car after it has been reduced by 20%. This means that £120 is equal to 80% of the original price.2 ways to work this out:1) £120 = 80 % £ ? =100%therefore: £? = (120 x 10...

Answered by Mary P. Maths tutor
3950 Views

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