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Completing the square of 2x^2 - 8x + 7 = 0

First divide everything by 2:x2 - 4x + 3.5 = 0Then divide number in front of the x by 2 and put it in a bracket squared + x. Then outside the bracket subtract the halved number squared. Keep th...

Answered by Maria H. Maths tutor
4330 Views

Given (x-2) is a factor of ax^3 + ax^2 + ax - 42, find the value of a

let f(x) = ax^3 + ax^2 + ax - 42if x-2 is a factor of f(x), then by remainder theorem, f(2) = 0and:a(2)^3 + a(2)^2 + a(2) -42 = 08a + 4a + 2a - 42 = 014a = 42a = 3

Answered by Maths tutor
3900 Views

Divide 711 in the ratio 4:5

Add 4+5 (which is 9)Tell them to divide 711 by 9 (=79)Multiple 79 by both values (79 x 4):(79 x 5)Answer is 316 : 395Explain that there is a way of finding out if they are correct. This is by adding 316 a...

Answered by Aini K. Maths tutor
2417 Views

Solve this simultaneous equation: 2 + 5y = 3x, x + y = 6

step 1 - rearrange equation 2 to make x/y the subjecthow? example: subtract y from both sidesx = 6 - ystep 2 - substitute x = 6 - y into equation 1.how? where x is in the...

Answered by Phoebe W. Maths tutor
2574 Views

Solve the equation 3(x+1) = 21

When solving an equation with brackets, it is often easiest to expand the brackets first.3(x+1) = 21becomes...3x + 3 = 21Now this looks like an equation we know how to solve(minus three from both sides)3x...

Answered by James M. Maths tutor
3940 Views

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