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Solve the equation p + 15 = 2(4p − 3)

Expand brackets: 8p-6. Move all values to one side: p - 8p + 15 + 6 = 0. Subtract p values and add normal numbers: -7p + 21 = 0. Move p values to other side: 21 = 7p. Divide through by 7: p = 21/7. p = 3....

Answered by Luke M. Maths tutor
4423 Views

Given that log3 (c ) = m and log27 (d )= n , express c /(d^1/2) in the form 3^y, where y is an expression in terms of m and n.

I find that a lot of maths at A-Level is unmotivated, and this causes a lot of unnecessary confusion. You can do this question, you just need to recognise the point of log and keep a level head. Log is d...

Answered by Gabriel V. Maths tutor
3544 Views

X^2 -25 Find the solution to this equation.

candidate should recognise the equation is a difference between two squares.
the next step is to factorise: square root of 25 is 5
(x-5)(x+5) = x^2-25
x= -5 x= 5

Answered by Jakub D. Maths tutor
2236 Views

If x^2 + 2y = -14 and y = 4x + 1 , by using the quadratic formula, find the possible values for x.

First the equation for y must be substituted into the first equation to give a quadratic equation in x. Rearrange this equation so that the left-hand side equals 0. Using the quadratic formula the possibl...

Answered by Rachael W. Maths tutor
2121 Views

3A + 4B =32 6A-2B=14 work out the values of A and B

First we need to get either an equal number of As, an opposite number of As. An equal number of Bs or an opposite number of Bs. 6A-2B= 14 (Multiply by 2) 12A-4B =28 and 3A +4B =32 add together15A=60 (divi...

Answered by Oliver R. Maths tutor
2008 Views

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