Question

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

Answer 1

`x^(2) +6x-7=0`
Solve by formula :
`x_(1.2) = \frac{-b+ \sqrt{ x^(2-4ac) } }{2a}`

`a=1,b=6,c=-7`


`x_(1.2) = \frac{(-6)+ \sqrt{ 6^(2)-4(-7) } }{2}`


`x_(1.2)= \frac{\sqrt{(-6)+ \sqrt{ 6^(2)+28 } } }{2}`


`x_(1.2) = ((-6)+ √(36+28 ) )/(2)`


`x_(1.2) = ((-6)+ √(64) )/(2)`


`x_(1.2) = ((-6)+8)/(2)`

First solution:

`x_(1) = ((-6)+8)/(2)`


`x_(1)= (\\ot 2)/(\\ot 2)`


`x_(1) =1`
Second solution:

`x_(2) = (-6-8)/(2)`


`x_(2) =-14:2`


`x_(2) =-7`

The answer is:
`x_(1) =1` ,
`x_(2) =-7`

Answer 2

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