Solve for x: 2x^2 + 2x -24 = 0
- The general formula of a quadratic is ax^2 + bx + c -> this is a quadratic 2) Factorise using common factor (=2) -> 2(x^2 + x - 12) = 0 3) Factorise the quadratic to (x + m)(x + n): the two numbers (m and n) in each bracket ADD to make b and MULTIPLY to make c. Don't forget the common factor from step 2 -> 2(x-3)(x+4) = 0 4) Divide both side of equation by 2 -> (x-3)(x+4) = 0 5) Two values multiply to make '0', so this means either or both equal 0. So, if (x-3) = 0, then x = 3; if (x+4) = 0, then x = -4.
YZ
Related Maths GCSE answers
All answers ▸Suppose we have a circle with the equation x^2 +y^2 =25. What is the equation to the tangent to the circle at point (4,3)?
Change of subject question. Make 'a' the subject of the formula v = u + at.
Solve the following definite integral from x=2 to x=-1: ((x^4) + 3(x^2) + 2) dx
Solve algebraically the simultaneous equations x^2 +y^2 = 25, y – 3x = 13