Find the equation of the straight line that is tangent to the curve 2x^2 - 5x - 3 =0 when x = 3.
First differentiate 2x2 - 5x - 3 to get 4x -5. At x = 3, the gradient of the tangent must be 7, and we know it goes through (3, 0) Plug the values into y = mx + c to get the equation of the line, which is y = 7x -21
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When given an equation with both letters and numbers on each side of the equals sign, for instance 4x +3 = 5x - 3, how do you know what to do first?
Solve the following simulatenous equation to find the values of both x and y: 5x+2y=16 and 3x-y=14