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Solve x^2 = 4(x-3)^2

First expand the bracket (x-3) 2 separately to give x 2 - 6x +9 Next multiply by the 4 outside the brackets to give 4x 2 -24x +36 Now all the terms have been expanded you can collect the like terms in the eq...
JV
Answered by Joe V. • Maths tutor
4209 Views

Solve the simultaneous equations: 12x - 4y = 12 (1) and 3x + 2y = 12 (2)

3x + 2y = 12 (2) multiply by 4 (To make the x coefficients equal for both equations) 12x + 8y = 48 (3) (3) - (1) 12y = 36 Divide through by 12 y = 3 Sub y = 3 into equation (2) 3x + 2(3) = 12 3x + 6 = 12 3x ...
RJ
Answered by Rees J. • Maths tutor
5082 Views

Solve the quadratic equation x^2 + x - 20 = 0

Factorising the left hand side we get x 2 + x - 6 = (x + 5)(x - 4). Therefore x 2 + x - 6 = 0 is the same as (x + 5)(x - 4) = 0. If multiplying two quantities equals 0, this means that one of the two must eq...
LJ
Answered by Lizlie J. • Maths tutor
4268 Views

how would you expand quadratic factors

Using the crab method draw lines from each term in the first bracket to the terms in the next bracket only once ensuring the lines do not crossover. A crab like claw should appear, add terms of the same powe...
RP
Answered by Ricken P. • Maths tutor
6010 Views

y is inversely proportional to d2 when d = 10, y = 4 d is directly proportional to x2 when x = 2, d = 24 Find a formula for y in terms of x. Give your answer in its simplest form.

y=k/d 2 substituting:4=k/10 2 4=k/100 400=k d=nx 2 substituting:24=n x 2 2 24=4n n=6 Eq1:y=400/d 2 Eq2:d=6x 2 y=400/(6x 2 ) y=400/36x 4 y=200/13x 4
AI
Answered by Abi I. • Maths tutor
14630 Views