Answer:
F(X) = 5 or -6
Step-by-step explanation:
F(X) = [tex]x^{2} +x-30[/tex]
Using the Formula
[tex]-b[/tex]±[tex]\frac{\sqrt{b^{2} -4ac } }{2a}[/tex]
Where a = coefficient of [tex]x^{2}[/tex] i. e 1
b = coefficient of [tex]x[/tex] i. e 1
And c = 30
imputing the values, we have
[tex]-1[/tex] ± [tex]\frac{\sqrt{1^{2} - 4 X 1 X 30} }{2 X 1}[/tex]
[tex]-1[/tex] ± [tex]\frac{\sqrt{121} }{2}[/tex]
[tex]-1+\frac{11}{2}[/tex] OR [tex]-1-\frac{11}{2}[/tex]
Therefore, F(X) is either 5 or -6