The quadratic function with roots x = 7 and x = -1 is [tex]x^{2}-6 x-7=0[/tex]
Solution:
Given that , roots of a quadratic equation are x = 7 and x = - 1 .
We have to find the equation of that 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 = 7 and b = -1
By substituting the values in general equation, we get
[tex]\begin{array}{l}{x^{2}-(7+(-1)) x+7(-1)=0} \\\\ {x^{2}-(7-1) x-7=0} \\\\ {x^{2}-(6) x-7=0} \\\\ {x^{2}-6 x-7=0}\end{array}[/tex]
Thus the required quadratic function is found
