write a quadratic equation in the variable x having the given numbers as the solutions. type the equation in standard form ax^2+bx+c=0
solution 6, only solution
X = 6
X - 6 = 0
Square both sides of Eq.
X^2 - 12X + 36 = 0
To write a quadratic equation in standard form when the given number is the solution, we can set the equation equal to zero.
So, if 6 is the only solution, the equation would be:
(x - 6)(x - 6) = 0
Now, we can expand the equation:
(x - 6)(x - 6) = x^2 - 6x - 6x + 36
Combining like terms:
x^2 - 12x + 36 = 0
Therefore, the quadratic equation in standard form with the solution 6 as the only solution is:
x^2 - 12x + 36 = 0