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Maths
GCSE

Solve algebraically: 6a+b = 16 and 5a - 2b = 19

6a + b = 16 (1)

5a - 2b = 19 (2)

(1) x 2: 12a + 2b =32

(1) + (2): 12a + 2b + 5a - 2b = 32 + 19 = 51

17a = 51

a = 51 / 17 = 3

Substitue a = 3 back into (1): (6 x 3...

NR
Answered by Niva R. Maths tutor
2872 Views

Solve 0=X^2 +5x +4

0= (x + 4)(x + 1)

x= - 4

x= - 1

RW
Answered by Rebecca W. Maths tutor
2653 Views

Show that (4x – 5)^2 – 5x(3x – 8) is positive for all values of x

(4x-5)^2-5x(3x-8)

(16x^2-40x+25)-(15x^2-40x)

16x^2-15x^2-40x+40x+25

x^2+25

if x = positive, x^2 will be positive.

if x = negative, x^2 will be positive.

x^2 is po...

JM
Answered by Joseph M. Maths tutor
3416 Views

((2x + 3)/(x-4)) - ((2x-8)/(2x+1)) = 1

x=0.81

AS
Answered by Amelia S. Maths tutor
2631 Views

You are shown a diagram of a right angled triangle, with the hypotenuse labelled c and the other sides labelled a and b. If a is 7m long and c is 10m long, what is the length of b?

A simple implementation of Pythagoras' Theorem a2+b2=h2, and as in the question c is the hypotenuse, a2+b2=c2. (Side Note - in exams, the ...

WH
Answered by William H. Maths tutor
3729 Views

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