How do you find a quadratic equation if you are only given the solution?

Answer 1

If we know the solution,it is very easy to form the quadratic equation
Let an quadtratic equation has two solutions 'p' and"q'
then the quadratic equation would be
x^2-(p+q)x+pq =0
Let us take another example
Let the value of x be 5 and -3
Sum of the roots= 5-3=2
Product of the roots=5*-3= -15
therefore the equation would be
x^2-(sum of the roots)x+product of the roots
=>x^2-2x-15=0
Hope it helps you

Answer 2

you cannot find the EXACT equation if you are only given the solution. However you can get a general form. If you have x=2 and x=1, it means that the equation touches the x-axis at 2 and 1.
Therefore, your equation is y=a(x-1)(x-2)
where a is a constant. a cannot be determined useless you are given further information

Answer 3

Multiply. If you are told "x = 3, x = 2", then multiply (x - 3)(x -2) and set the product equal to 0.

Answer 4

If your solution is the two roots a,b
then (x-a)(x-b)=0
or x²-ax-bx + ab = 0

Answer 5

if a and b are the solutions of the quad eq
then the eq is (x-a)(x-b) = x^2 - (a+b)x + ab

Answer 6

(x + a) (x + b) = 0
given A and B are solutions

Answer 7

FOIL method