How do I find roots of a quadratic equation when I can't factorise?

When factorising isn't working, we can try using the quadratic formula. First, we need our quadratic equation and find a,b and c - the coefficients of x and the constant. Now, we can write out the quadratic formula and plug in the corresponding numbers. Remember there are two different answers given by this method. With a calculator this is nice and easy - just type it in and write the answer to 2/3 decimal places (if needed). Without a calculator we can just simplify as far as possible so we might still have a surd in the answer but that's OK.

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Answered by Freya D. Maths tutor

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5y + 1 = 3y + 13


simplify fully: (3x^2 - 8x -3)/(2x^2 -6x)


Given a graph of y = f(x) how do you sketch a graph of y = f(x)+4, y = f(x-5), y = -f(x+4) or any other similar transformations


A common question would be how to factorise into two brackets, for example x^2 + 5x = -6


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