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Solve x^2=3(x-1)^2

To start with, we want to put this into quadratic form, where we have ax^2+bx+c=0. We notice that there are terms on both sides of the equation. So we can expand the right hand side and then bring all th...

JU
Answered by Joshua U. Maths tutor
2998 Views

How do I work out the exact value of a number which is expressed as an indice, for example 81^-1/4

Firstly, recall the indice rules which are applicable to the question, for example in this question we can use the rules:(x^a)^b = x^abx^-1 = 1/xx^1/2 = square root xSecondly, apply these rules to break d...

CH
Answered by Cameron H. Maths tutor
3047 Views

Solve the simultaneous equations 4x + 5y = 13 and 3x - 2y = 27.

Using the elimination method to remove the variable x, we need both equations to have the same values of x. To do this we find the lowest common multiple of the x values: the lowest common multiple of 3 a...

CH
Answered by Christy H. Maths tutor
8371 Views

How do you form the imperfect past tense and what is the difference between the preterite and the imperfect tense?

The imperfect past tense is formed with the endings:AR verbs Yo - abatú - abasel/ella - aba nosotros - abamos vosotros - abais ellos/ellas - aban ER and IR verbs yo - ía tú - ías el/ella - ía nosotros - í...

LC
Answered by Lucy C. Maths tutor
2995 Views

Solve 29cosh x – 3cosh 2x = 38 for x, giving answers in terms of natural logarithms

Firstly, we need the equation to be in terms of one cosh argument if possible, which can be done by the identity cosh 2x = 2cosh2x - 1. Upon substitution and simplification we get 6cosh2

JC
Answered by Jacob C. Maths tutor
4630 Views

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