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First, add the two fractions together. The common denominator is 2(x+1), or 2x+2. The first fraction becomes 6/(2x+2). The second fraction becomes (x+1)(3x-9)/(2x+2), or (3x²-6x -9)/(2x+2). Add...

The second differential of the equation of the curve will be positive if it is convex. This is because, by definition, convex means that the gradient of a curve is increasing. To find the gradient of a cu...

First, we want all the terms with X on one side, so let's +5 to both sides.3x² = 48Let's simplify, so we get x² on its own.48÷ 3=16x² = 16Now, we need x 'unsquared', so we...

First simplify the equation! This means making the side with your Xs on easier to read.162÷2=81Now we have x² = 81 √81=9(Remember 9x9=81.)

Rearrange y - 3x = 13 to y = 13 + 3xSquare y to give y^2 = 169 +78x +9x^2Sub into first equation to give x^2 + 169 + 78x +9x^2 = 25Simplify to give 10x^2 + 78x + 144 = 0 Apply quadratic formula to solve ...