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Solve by completing the square: x^2 + 12x + 4 = 0

(x+6) ^2 -36+4=0(x+6) ^2 -32=0(x+6) ^2 =32(x+6)=±√32x=-6±√32
EK
Answered by Elisha K. Maths tutor
3009 Views

Simplify the following equation: x^(2) +3x+4^(2)-2

In order to simplify the equation, like terms need to be collected.Square terms (x 2 ) can’t be collected with not square terms (x). x 2 terms = 1x 2 + 4x 2 = 5x 2 x terms = 3xremaining terms = -2 Added toge...
MA
Answered by Marie A. Maths tutor
3264 Views

How do I solve simultaneous equations that aren't linear, for example x^2 + 2y = 9, y = x + 3

First, let's start by labelling the equations. We can call x 2 +2y=9 equation 1 and y=x+3 equation 2. Rearrange equation 2 to give us x = y-3. We can then substitute this back into equation 1. So we get (y-3...
EM
Answered by Esther M. Maths tutor
2733 Views

If f(x) = x^2, draw the graph of y = f(x) + 3

We can first draw the graph of y = f(x) = x^2 which is a simple graph like this (whiteboard). Now looking at y = f(x) + 3, we can see that this is a translation by the vector [0 3]. Therefore we can translat...
MS
Answered by Maisie S. Maths tutor
3683 Views

solve x^2 + 5x +6 = 0

You can do this a couple of ways. The first is by using the quadratic equation shown below. Each letter corresponds to the the coefficient of different powers of x. A is the number in front of x^2 and b is i...
OW
Answered by Oliver W. Maths tutor
4371 Views