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Solve (6/x-2)-(2/x+3)=1

Firstly, begin by multiplying both sides of the equation by (x-2) and (x+3), this gives 6(x+3)-2(x-2)=(x+3)(x-2). Expand out the brackets on each side of the equation to give 6x+18-2x+4=x2-2x+3...

RH
Answered by Ryan H. Maths tutor
5565 Views

Factorise the equation below (1)

(1) x2 + 15x + 56 = 0

56 = 1 x 56, 2 x 26, 4 x 14, 7 x 8

7 + 8 = 15

Hence, factorised equation is (x + 7)(x + 8) = 0

FT
Answered by Fraser T. Maths tutor
2933 Views

Multiply 0.03 and 10.1.

First we have 0.03 x 10.1, multiply without decimal points: 3 x 101 = 303

Since there are 2 decimal places 0.03 and 10.1 has 1 decimal pla...

MS
Answered by Mira S. Maths tutor
2940 Views

Solve the equation 7 - 4x = x + 8.

First we add up all the 'x' terms. So the equation 7 - 4x = x + 8 becomes 7 - 4x - x = x +8 - x  => 7 - 5x = 8. Now we can do the same with the ot...

MS
Answered by Mira S. Maths tutor
3538 Views

When (x – 2)^2 + 7 has a minimum value, what is the value of x?

First, expand (x-2)2:

= (x-2)(x-2),

= x2 - 2x - 2x + 4

= x2 - 4x + 4

Add on the +7:

= x2 - 4x + 11

<...

TL
Answered by Tom L. Maths tutor
6318 Views

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