Hi Candidate,
In order to find the roots of a quadratic function, we set f (x) = 0, and solve the equation, ax 2 + bx + c = 0. T Theroots of any quadratic equation is given by: x = [-b +/- √(-b^2 - 4ac)]/2a.
We just need to write down the quadratic in the form of ax^2 + bx + c = 0. If the equation is in the form y = ax^2 + bx +c, simply replace the y with 0. This is done because the roots of the equation are the values where the y axis is equal to 0.
Hope that this answer helps you.
Question : If the sum of the roots of a quadratic equation is 1 and the product of the roots is –20, find the quadratic equation.
Option 1: $x^{2}–x–20=0$
Option 2: $x^{2}+x+20=0$
Option 3: $x^{2}+x–20=0$
Option 4: $x^{2}–x+20=0$
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