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Solve x^2+6x+1=0 by completing the square

x 2 +6x+5=0 First of all half the x coefficient and write (x+6/2) 2 the take away the (6/2) 2 and add on the 5 (x+3) 2 -9+5=0 (x+3) 2 -4=0 Simplify the expression (x+3) 2 =4 Move 4 to the other side of the e...
BS
Answered by Ben S. • Maths tutor
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Find the equation of the tangent to curve y=5x^2-2x+3 at the point x=0

y=5x 2 -2x+3 Differentiate to find the equation of the gradient of the curve dy/dx=10x-2 Substitute x=0 to find the gradient at the point x=0 dy/dx=-2 y=5 0^2-2 0+3 Substitute x=0 into the original equation ...
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Explain the analogy of the divided line as an exemplary case of Plato’s epistemology

This question from an IB philosophy exam gives an opportunity to discuss Plato’s epistemology in books V – VII his Republic with a focus in one of its classical analogies: the divided line. Plato suggests th...
CH
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Expand 4e(e + 2)

4e^2 + 8e
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Factorise and solve the quadratic : 3x^2 + 15x +18 = 0

First we look to see if there is a common factor in the equation. In this case there is a common factor of 3, therefore we can take 3 out as a factor. 3(x 2 +5x +6) = 0 The inside of the bracket is now a sta...
HW
Answered by Holly W. • Maths tutor
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