Question

x2 + 2x − 8 = 0

Answer 1

do you need to solve it by the quadratic formula or you want to factorize it ? :)

Answer 2

\[\LARGE {x_{1/2}} = \frac{{ - b \pm \sqrt {{b^2} - 4ac} }}{{2a}}\]

Answer 3

i need to find if its identical rational solutions,different rational solution,irrational solutions

Answer 4

but factorizing you'll get:
(x+4)(x-2)=0

because
4-2=2
and 4*(-2)=-8

and now here you have two cases to solve
(x+4)(x-2)=0

x+4=0 and x-2=0

Answer 5

so is it different rational solution???

Answer 6

in that case you have:
\[\LARGE \Delta >0 \quad \quad 2-solutions\]
\[\LARGE \Delta =0 \quad \quad 1-solution\]
\[\LARGE \Delta <0 \quad \quad No\;\;Real\;\;Solution.\]

and
\[\LARGE \Delta=b^2-4ac\]
so you have:

\[\LARGE 2^2-4\cdot 1\cdot (-8)\Longrightarrow 4+4\cdot 8 >0\]

so there are two different solutions...

Answer 7

Real solutions..

Answer 8

thx

Answer 9

My pleasure xD