Find the range of square root of x^2-3x+2
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[0,∞) range
and
(-∞,1] U [2,∞) domain
and
(-∞,1] U [2,∞) domain
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0
Here, y =√(x²-3x + 2)
we know,
ax² + bx + c ≥ -D/4a
use this concept here,
x² - 3x + 2 ≥ -(3² -4×2)/4
x² - 3x + 2 ≥ -1/4
take square root both sides,
√(x²-3x + 2) ≥0
hence range ∈[ 0, ∞)
we know,
ax² + bx + c ≥ -D/4a
use this concept here,
x² - 3x + 2 ≥ -(3² -4×2)/4
x² - 3x + 2 ≥ -1/4
take square root both sides,
√(x²-3x + 2) ≥0
hence range ∈[ 0, ∞)
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