The quadratic function with roots x = 8 and x = 9 is given as [tex]x^{2}-17 x+72=0[/tex]
Solution:
Given that the roots of function are x = 8 and x = 9
We need to find the quadratic function
Now, we know that, quadratic equation is given by [tex]x^{2}-(a+b) x+a b=0[/tex]
where a and b are roots of that quadratic equation.
Here a = 8 and b = 9
By substituting the "a" and "b" values in general quadratic function we get,
[tex]\begin{array}{l}{x^{2}-(8+9) x+8 \times 9=0} \\\\ {x^{2}-(17) x+72=0} \\\\ {x^{2}-17 x+72=0}\end{array}[/tex]
Hence the required quadratic function is found out
