Answer:
The correct option is B x= 7 ±[tex]\sqrt{61}[/tex]÷ 6 .
Step-by-step explanation:
Given : Quadratic equation [tex]3^{2}[/tex]-7x-1 = 0.
To find : Use the quadratic formula to find both solution to the quadratic equation.
Formula used : Quadratic formula a[tex]x^{2}[/tex] + bx + c =0 , where "a", "b", and "c" are just numbers x= -b ±[tex]\sqrt{b^{2} -4ac}[/tex]÷ 2a.
Explanation : Compare the a[tex]x^{2}[/tex] + bx + c =0 by [tex]3^{2}[/tex]-7x-1 = 0.
a = 3 , b = -7 , c = -1 .
Plugging the values a,b,c in formula.
x= -(-7) ±[tex]\sqrt{(-7)^{2} -4*3*(-1)}[/tex]÷ 2*3.
x= 7 ±[tex]\sqrt{49 +12}[/tex]÷ 6.
x= 7 ±[tex]\sqrt{61}[/tex]÷ 6.
Therefore, The correct option is B , x= 7 ±[tex]\sqrt{61}[/tex]÷ 6.
