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Assume 2^(1/3) is rational, so can be written as p/q where p and q are integers with no common factors. p/q = 2^(1/3) (p^3)/(q^3) = 2 p^3 = 2q^3 Hence, p is even. Thus, p can be written as 2r, where r is an ...

We know that this is going to be a “U” shaped parabola as the graph is a positive x^2 graph. The y intercept is the point at which x=0. Substituting in 0 gives when x = 0, y = -21.Now we need the x intercept...

By completing the square we find that f(x) = x 2 + 2x + 2 = (x+1) 2 + 1Since (x+1) 2 is a number that has been squared, it must be greater than or equal to zero. Therefore, f(x) = (x+1) 2 + 1 must be greater...

y = x 2 + 3x + 2 Finding the y intercept:When x = 0, y = 2 Therefore y intercept is at (0,2)Finding x intercept:Method 1: Factorise y = x 2 + 3x + 2 y = (x+1)(x+2)x intercepts are when y = 0 , therefore find...

The equation for the quadratic formula is x = (-b +/- √( b^2 - 4ac))/2a for when the equation ax^2 + bx + c is equal to 0. When you have the equation ax^2 + bx + c, where a, b and c are given numbers, you ca...