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Ludmilka [50]
2 years ago
12

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

Mathematics
1 answer:
blagie [28]2 years ago
4 0
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= \frac{-b- \sqrt{\Delta} }{2a} } \Rightarrow X_1= \frac{-6-8}{2}=-7 \\ \\ \boxed{X_2= \frac{-b+ \sqrt{\Delta} }{2a} } \Rightarrow X_2= \frac{-6+8}{2} =1
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