What if my equation doesn't factorise?

For all quadratic equations, you can use the quadratic formula. Given an equation of the form ax2+bx+c, you can plug those values into this formula:x1, x2 = (-b +/- sqrt(b2 - 4ac)) / 2aNote: the term b2 - 4ac is called the determinant  and must be greater than 0 for your equation to have any solutions.

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The co-ordinates of P and Q respectively are (-9,7) and (11,12). M is on the line PQ such that PM:MQ = 2:3. L passes perpendicularly through M. What is the equation of L?


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Expand and simplify (2x + 5) (3x - 2)


Insert a pair of brackets into this question to make it correct 2 + 5 x -6 = -42