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express x^2-4x+9 in the form (x-q)^2+y

divide the coefficient of the x term by 2-4/2=-2this is the value of the term, q.to find the term, y, simply square the value of q, and subtract it from the number term, which is in this case, 9(-2)^2=4. y=9...
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Answered by Hugo C. Maths tutor
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4. The curve C has equation 4x^2 – y3 – 4xy + 2y = 0. P has coordinates (–2, 4) lies on C. (a) Find the exact value of d d y x at the point P. (6) The normal to C at P meets the y-axis at the point A. (b) Find the y coordinate of A

Differentiate Implicitly with respect to x- ( do it term by term, terms with only x's diff normally, terms containing a Y should be differentiated following the standard pattern but then multiplied by dy/dx ...
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Answered by Hamish P. Maths tutor
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Express x^2+8x+15 in the form (x+a)^2-b

Completing the Square is required to solve this equation. First, identify A,B, and C of the quadratic equation: A=1, B=8, C=15. Halve B to obtain a : B/2 = 8/2 = 4 so a = 4. Substitute a into the form (x+a) ...
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Answered by Mahfuza P. Maths tutor
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Solve the quadratic function x^2 + 3x + 2

(x+2)(x+1)
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Answered by Prashant R. Maths tutor
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Solve the simultaneous equations: 3x-y=13, 2x+y=12

To solve these simultaneous equations we first need to eliminate one variable (the x or the y). For this we will need the coefficients (numbers in front of the variables) to be equal or opposite on one varia...
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Answered by Ellie D. Maths tutor
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