Question

Which equation has the same soultions as x^2+6×-7=0

Answer 1

`x^2+6x-7=0 \\ a=1 \\ b= 6 \\ c=-7 \\ \\ \boxed{\boxed{\Delta=b^2-4ac}} \\ \\ \Delta=6^2-4*1*(-7) \\ \Delta=36-(-28) \\ \Delta=64 \\ \Delta\ \textgreater \ 0 \Rightarrow \text{we have 2 solutions :} X_1 \ and X_2 \\ \\ \boxed{X_1= (-b- √(\Delta) )/(2a) } \Rightarrow X_1= (-6-8)/(2)=-7 \\ \\ \boxed{X_2= (-b+ √(\Delta) )/(2a) } \Rightarrow X_2= (-6+8)/(2) =1`