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Solve the simultaneous equations y = 2x-3 and x^2 +y^2 = 2

Let the first equation be equation 1 and the second equation be equation 2. Firstly, you must substitute equation 1 into equation 2. This is because there are currently two unknown values in each equation (x...
DD
Answered by Daniel D. • Maths tutor
30733 Views

Solve for x: 2x^2 + 7x + 6 = 0

Solve for x: 2x 2 + 7x + 6 = 0 The first thing to do is look at the left hand side and factorise it. To do this we use the reverse of FOIL. Then when the expression is factorised, we can solve for x. 1. Firs...
AC
Answered by Asher C. • Maths tutor
20385 Views

Find x and y of these two equations: 2x - 3y = 13 and 3x + y = 3

In order to find the unknown variables x and y we need to simplify these equations in the way that will make it possible for us to get rid of either x or y variable, and make it easier to solve the remaining...
ZB
Answered by Zuzana B. • Maths tutor
22461 Views

Why does ln(x) differentiate to 1/x ?

At first glance, this may seem quite complicated. However, it is simple once you make use of exponents. Let y=ln(x) . This can be written as: e y = e ln(x) e to the power of a natural log cancels out, which ...
CE
Answered by Charlie E. • Maths tutor
15399 Views

Differentiate ln(x)/x

To differentiate this, we use the quotient rule as we have 2 functions of x as a fraction. The quotient rule states that: where u is the numerator function and v is the denominator function. Therefore, u=ln ...
CE
Answered by Charlie E. • Maths tutor
12413 Views