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Find the solutions to the following equation x^2 - 5*x + 6 = 0

There are several ways one can go about answering this question, one of which is to 'complete the square' by trial and error. A different, potentially easier method is to substitute the coefficients into ...

Answered by Frederick M. • Maths tutor

3326 Views

Mechanics (M1): Particle moving on a straight line with constant acceleration (Relationships of the 5 Key Formulae)

For M1, it is essential for you to be able to solve questions that involve particles moving in a straight line with constant acceleration.

The representation of symbols is listed as follow:

...

Answered by Wai Man C. • Maths tutor

6857 Views

Probabilities: "A bag contains counters that are red, blue, green and yellow. There are 9 red, (3x) blue, (x-5) green and (2x) yellow. If the probability of picking a red at random is 9/100, work out the probability of picking a green."

If there is a total of 100 counters, 9 + (3x) + (x-5) + (2x) = 100.

3x + x + 2x = 100 + 5 - 9

6x = 96

x = 16

Probability of picking green = (16 - 5)/100 = 11/100

Answered by Charukshi D. • Maths tutor

11416 Views

Differentiate 2x^3+23x^2+3x+5 and find the values of x for which the function f(x) is at either at a maximum or minimum point. (Don't need to specify which is which)

f(x)=2x³+23x²+3x+5

f'(x)=6x²+46x+3

Maximum or minimum when f'(x)=0

6x²+46x+3=0

Using the Quadratic Formula: x=(-b+-squareroot(b^...

Answered by Sanjana K. • Maths tutor

3813 Views

Find f(x^(1/2)+4)dx (Where f is the integral sign)

The general form for an integrand if the integral is of the form f(x^n)dx is (1/(n+1)) * x^(n+1) +c This is applied to each term in the question, remembering the constant in the integrand:

So: f(6x...

Answered by Michael A. • Maths tutor

3005 Views