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Using pythagoras’ theorem:a^2 + b^2 = c^2
hypotenuse = sqrt(5^2 + 7^2) = sqrt(25+49) = sqrt(74)

So, we are dealing here with a quadratic equation as it is written in the form ax^2 + bx +c = 0 To tackle this we will firstly need to factorise the equation, we need to find two numbers that will multipl...

Firstly notice that to find a stationary point of a curve with an equation, the best first step is often to differentiate the expression. Then solve the equation for x when dy/dx = 0. In this case the y e...

8x² + 6x + 1. This is a quadratic equation as the highest power of x is to the power of 2.A quadratic is written in the form: ax² + bx + c. The coefficient of the x² term ...

As x=3 is a solution, (x - 3) is a factor of f(x) = 2x³- 8x²+ 7x - 3 = 0 ie. 2x³- 8x²+ 7x - 3 = (x - 3)(Ax² + Bx + C) where A,B,C are constants to be...