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

Start by look at the right hand side of the equation, first expand (x-3)2 which is also the same as (x-3)(x-3). This comes out to equal (x2-6x+9). Next multiply (x2 -6x+9)...

LR
Answered by Louis R. Maths tutor
3877 Views

Find the length of X and Y of these two right angled triangles (pictured) and prove their congruence, stating the rule.

(draws two right angled triangles, one with sides 3 and 4 units with the hypotenuse labelled 'x', one with a side labelled 4 units and 'Y' with the hypothenuse labelled 5 units).
The answer is in two...

MH
Answered by Megan H. Maths tutor
2560 Views

Factorise 2x^2+5x - 3

When factorising a quadratic expression the aim is to put the expression into brackets. Step 1: Label each expression as a b c2x2 = a 5x = b -3 = cStep 2: Multiply a with c number 2 * -3 = -6 Step 3: Know...

VA
Answered by Victoria A. Maths tutor
4568 Views

Factorise x² + 6x + 8

A quadratic equation is written in the form: ax2 + bx + cTo factorise, we need to know what 2 numbers multiply to make ac and add to make bac= 8b=64 x 2=8 4+2 = 6We replace b for these two numb...

LM
Answered by Laila M. Maths tutor
6052 Views

Solve the following simultaneous equations: 1) 2x + 7y = 12 2) 4x = 14 - 4y

  1. ×2 --> 4x + 14y = 241) - 2) --> 4x + 14y - 4x = 24 - 14 - (-4y) 14y = 10 + 4y10y = 10 --> y = 14x = 14 - 4 (1)x = 10/4 = 2.5x = 2.5 & y= 1
BS
Answered by Bernardo S. Maths tutor
2948 Views

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