Medium
If the sum of the roots of a quadratic equation is 4 and the product of the roots is -5, what is the equation (in the form x² - (sum)x + (product) = 0)?
Explanation
Explanation
A quadratic equation with sum of roots S and product of roots P can be written as x² - Sx + P = 0. Substituting S = 4 and P = -5 gives x² - (4)x + (-5) = 0.
PRO TIP
Re-check your working by substituting the answer back into the original question.