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Find the coordinates of the minimum/maximum of the curve: Y = 8X - 2X^2 - 9, and determine whether it is a maximum or a minimum.

First we need to find the derivative of the curve:dy/dx = 8 - 4X.We can then find the X coordinate by setting this equal to zero: 0 = 8 - 4X, X = 2.Plugging this back into the original equation gives us t...

Answered by Michael L. • Further Mathematics tutor

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2x^2-7x+3=0, solve the following for the two solutions of x

X=1/2X=3

Answered by Alireza J. • Maths tutor

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Complete the square on the equation (x^2)-4x-3

x²-4x-3 First factorise into squared form and expand.(x-2)²=x²-4x+4Balance the equations.x²-4x+4 needs to be x²-4x-3This leads to(x-2)²-4-...

Answered by Eddie M. • Maths tutor

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Write the balanced symbol equation for aerobic respiration

The word equation is:glucose + oxygen = carbon dioxide + water So the symbol equation is:C₆H₁₂0₆ + 0₂ = CO₂ + H₂0However this is not balan...

Answered by Julius C. • Biology tutor

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Solve the following quadratic simultaneous equation: y = x + 4 and y = x^2 + 4x

Y = x + 4y = x² + 4x(as both are equal to y, they can be equated)So: x² + 4x = x + 4(Rearrange to make the equation equal 0 - subtract x and 4)x² + 3x - 4 = 0(factorise)(x...

Answered by Julius C. • Maths tutor

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