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f(x)= x^2+ 4x-4
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using the discriminant, determine the nature of the zeros of each function .
use \[b^2-4ac\] with \[a=1,b=4,c=-4\] get \[16+16=32\] so since the discriminant is positive it has two zeros. now we can find them
put \[x^2+4x-4=0\] \[x^2+4x=4\] \[(x+2)^2=4+2^2=8\] \[x+2=\pm\sqrt{8}=2\sqrt{2}\] \[x=2\pm\sqrt{2}\]
so your two zeros are \[\{2-\sqrt{2},2+\sqrt{2}\}\]
nice! thanks for helping me! .. ^^ ..
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yw
f(x)= x^2 + 2x + 13,by using the discriminant, determine the nature of the zeros of each function ..
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