What is the formula for solving quadratic equations?
All quadratic equations come in the form ax2 + bx + c = 0 where a is the coefficient of x2 and b is the coefficient of x. An exmple of a quadratic would be, 2×2 + 4x -6 = 0 In the above case, the coefficient of x2 is 2, so A = 2 and likewise the coefficient of x is 4, so B = 4 and C = -6. The formula for solving quadratic equations is, We then subsitute our values for a, b and c into the above equation, and we get, Which when simplified becomes, and of course, the sqyare root of 64 is 8. We then calculate the first value of X. This comes from the plus sign in the equation, we get, So one possible value of X is, 1 We then calculate the second possible value of x, to do this we use the minus sign in our equation, Therefore, for the quadratic equation 2×2 + 4x -6 = 0 the possible values for x are 1 or -3.
