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The quadratic formula is used to find the roots of a quadratic equation which comes in this form:

y = ax² + bx + c

By finding the roots, we mean that we find the values of...

Expand brackets: 8p-6. Move all values to one side: p - 8p + 15 + 6 = 0. Subtract p values and add normal numbers: -7p + 21 = 0. Move p values to other side: 21 = 7p. Divide through by 7: p = 21/7. p = 3....

I find that a lot of maths at A-Level is unmotivated, and this causes a lot of unnecessary confusion. You can do this question, you just need to recognise the point of log and keep a level head. Log is d...

candidate should recognise the equation is a difference between two squares.
the next step is to factorise: square root of 25 is 5
(x-5)(x+5) = x^2-25
x= -5 x= 5

First the equation for y must be substituted into the first equation to give a quadratic equation in x. Rearrange this equation so that the left-hand side equals 0. Using the quadratic formula the possibl...